Finding the Fourth Proportional to 2,543.16, 3,809.16 and 1,566.30

Step by Step Solution

1. Step 1: Write the proportion equation
   2,543.16 : 3,809.16 = 1,566.30 : x
2. Step 2: Convert to fraction form
   2,543.16/3,809.16 = 1,566.30/x
3. Step 3: Cross multiply
   2,543.16x = 3,809.16 × 1,566.30
4. Step 4: Simplify right side
   2,543.16x = 5,966,287.31
5. Step 5: Solve for x
   x = 5,966,287.31/2,543.16
6. Step 6: Final answer
   x = 2,346.01