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Finding the Fourth Proportional to 7,743.64, 11,600.34 and 6,186.88

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Solution

The fourth proportional to 7,743.64, 11,600.34 and 6,186.88 is: 9,268.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,743.64 : 11,600.34 = 6,186.88 : x
  2. Step 2: Convert to fraction form
    7,743.64/11,600.34 = 6,186.88/x
  3. Step 3: Cross multiply
    7,743.64x = 11,600.34 × 6,186.88
  4. Step 4: Simplify right side
    7,743.64x = 71,769,911.54
  5. Step 5: Solve for x
    x = 71,769,911.54/7,743.64
  6. Step 6: Final answer
    x = 9,268.24

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