Finding the Fourth Proportional to 2,566.86, 3,542.10 and 1,432.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,566.86 : 3,542.10 = 1,432.50 : x
2. Step 2: Convert to fraction form
   2,566.86/3,542.10 = 1,432.50/x
3. Step 3: Cross multiply
   2,566.86x = 3,542.10 × 1,432.50
4. Step 4: Simplify right side
   2,566.86x = 5,074,058.25
5. Step 5: Solve for x
   x = 5,074,058.25/2,566.86
6. Step 6: Final answer
   x = 1,976.76