Finding the Fourth Proportional to 3,686.31, 5,092.27 and 2,566.69

Step by Step Solution

1. Step 1: Write the proportion equation
   3,686.31 : 5,092.27 = 2,566.69 : x
2. Step 2: Convert to fraction form
   3,686.31/5,092.27 = 2,566.69/x
3. Step 3: Cross multiply
   3,686.31x = 5,092.27 × 2,566.69
4. Step 4: Simplify right side
   3,686.31x = 13,070,259.34
5. Step 5: Solve for x
   x = 13,070,259.34/3,686.31
6. Step 6: Final answer
   x = 3,545.62