Finding the Fourth Proportional to 10,555.31, 14,566.16 and 5,839.59

Step by Step Solution

1. Step 1: Write the proportion equation
   10,555.31 : 14,566.16 = 5,839.59 : x
2. Step 2: Convert to fraction form
   10,555.31/14,566.16 = 5,839.59/x
3. Step 3: Cross multiply
   10,555.31x = 14,566.16 × 5,839.59
4. Step 4: Simplify right side
   10,555.31x = 85,060,402.27
5. Step 5: Solve for x
   x = 85,060,402.27/10,555.31
6. Step 6: Final answer
   x = 8,058.54