Finding the Fourth Proportional to 6,584.64, 9,086.71 and 3,752.18

Step by Step Solution

1. Step 1: Write the proportion equation
   6,584.64 : 9,086.71 = 3,752.18 : x
2. Step 2: Convert to fraction form
   6,584.64/9,086.71 = 3,752.18/x
3. Step 3: Cross multiply
   6,584.64x = 9,086.71 × 3,752.18
4. Step 4: Simplify right side
   6,584.64x = 34,094,980.91
5. Step 5: Solve for x
   x = 34,094,980.91/6,584.64
6. Step 6: Final answer
   x = 5,177.96