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Finding the Fourth Proportional to 3,923.60, 5,884.92 and 1,457.68

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Solution

The fourth proportional to 3,923.60, 5,884.92 and 1,457.68 is: 2,186.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,923.60 : 5,884.92 = 1,457.68 : x
  2. Step 2: Convert to fraction form
    3,923.60/5,884.92 = 1,457.68/x
  3. Step 3: Cross multiply
    3,923.60x = 5,884.92 × 1,457.68
  4. Step 4: Simplify right side
    3,923.60x = 8,578,330.19
  5. Step 5: Solve for x
    x = 8,578,330.19/3,923.60
  6. Step 6: Final answer
    x = 2,186.34

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