Finding the Fourth Proportional to 2,543.47, 3,807.80 and 1,566.61

Step by Step Solution

1. Step 1: Write the proportion equation
   2,543.47 : 3,807.80 = 1,566.61 : x
2. Step 2: Convert to fraction form
   2,543.47/3,807.80 = 1,566.61/x
3. Step 3: Cross multiply
   2,543.47x = 3,807.80 × 1,566.61
4. Step 4: Simplify right side
   2,543.47x = 5,965,329.72
5. Step 5: Solve for x
   x = 5,965,329.72/2,543.47
6. Step 6: Final answer
   x = 2,345.35