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Finding the Fourth Proportional to 5,765.16, 8,646.90 and 3,587.88

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Solution

The fourth proportional to 5,765.16, 8,646.90 and 3,587.88 is: 5,381.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,765.16 : 8,646.90 = 3,587.88 : x
  2. Step 2: Convert to fraction form
    5,765.16/8,646.90 = 3,587.88/x
  3. Step 3: Cross multiply
    5,765.16x = 8,646.90 × 3,587.88
  4. Step 4: Simplify right side
    5,765.16x = 31,024,039.57
  5. Step 5: Solve for x
    x = 31,024,039.57/5,765.16
  6. Step 6: Final answer
    x = 5,381.30

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