Finding the Fourth Proportional to 10,555.92, 14,566.59 and 5,839.92

Step by Step Solution

1. Step 1: Write the proportion equation
   10,555.92 : 14,566.59 = 5,839.92 : x
2. Step 2: Convert to fraction form
   10,555.92/14,566.59 = 5,839.92/x
3. Step 3: Cross multiply
   10,555.92x = 14,566.59 × 5,839.92
4. Step 4: Simplify right side
   10,555.92x = 85,067,720.27
5. Step 5: Solve for x
   x = 85,067,720.27/10,555.92
6. Step 6: Final answer
   x = 8,058.77