Finding the Fourth Proportional to 1,540.72, 2,310.83 and 566.60

Step by Step Solution

1. Step 1: Write the proportion equation
   1,540.72 : 2,310.83 = 566.60 : x
2. Step 2: Convert to fraction form
   1,540.72/2,310.83 = 566.60/x
3. Step 3: Cross multiply
   1,540.72x = 2,310.83 × 566.60
4. Step 4: Simplify right side
   1,540.72x = 1,309,304.02
5. Step 5: Solve for x
   x = 1,309,304.02/1,540.72
6. Step 6: Final answer
   x = 849.80