Finding the Fourth Proportional to 10,555.46, 14,565.02 and 5,839.74

Step by Step Solution

1. Step 1: Write the proportion equation
   10,555.46 : 14,565.02 = 5,839.74 : x
2. Step 2: Convert to fraction form
   10,555.46/14,565.02 = 5,839.74/x
3. Step 3: Cross multiply
   10,555.46x = 14,565.02 × 5,839.74
4. Step 4: Simplify right side
   10,555.46x = 85,055,929.89
5. Step 5: Solve for x
   x = 85,055,929.89/10,555.46
6. Step 6: Final answer
   x = 8,058.00