Finding the Fourth Proportional to 10,555.38, 14,566.37 and 5,839.56

Step by Step Solution

1. Step 1: Write the proportion equation
   10,555.38 : 14,566.37 = 5,839.56 : x
2. Step 2: Convert to fraction form
   10,555.38/14,566.37 = 5,839.56/x
3. Step 3: Cross multiply
   10,555.38x = 14,566.37 × 5,839.56
4. Step 4: Simplify right side
   10,555.38x = 85,061,162.40
5. Step 5: Solve for x
   x = 85,061,162.40/10,555.38
6. Step 6: Final answer
   x = 8,058.56