Finding the Fourth Proportional to 2,566.64, 3,541.98 and 1,387.71

Step by Step Solution

1. Step 1: Write the proportion equation
   2,566.64 : 3,541.98 = 1,387.71 : x
2. Step 2: Convert to fraction form
   2,566.64/3,541.98 = 1,387.71/x
3. Step 3: Cross multiply
   2,566.64x = 3,541.98 × 1,387.71
4. Step 4: Simplify right side
   2,566.64x = 4,915,241.07
5. Step 5: Solve for x
   x = 4,915,241.07/2,566.64
6. Step 6: Final answer
   x = 1,915.05