Finding the Fourth Proportional to 10,555.68, 14,566.50 and 5,839.86

Step by Step Solution

1. Step 1: Write the proportion equation
   10,555.68 : 14,566.50 = 5,839.86 : x
2. Step 2: Convert to fraction form
   10,555.68/14,566.50 = 5,839.86/x
3. Step 3: Cross multiply
   10,555.68x = 14,566.50 × 5,839.86
4. Step 4: Simplify right side
   10,555.68x = 85,066,320.69
5. Step 5: Solve for x
   x = 85,066,320.69/10,555.68
6. Step 6: Final answer
   x = 8,058.82