Finding the Fourth Proportional to 10,614.50, 14,648.02 and 5,899.22

Step by Step Solution

1. Step 1: Write the proportion equation
   10,614.50 : 14,648.02 = 5,899.22 : x
2. Step 2: Convert to fraction form
   10,614.50/14,648.02 = 5,899.22/x
3. Step 3: Cross multiply
   10,614.50x = 14,648.02 × 5,899.22
4. Step 4: Simplify right side
   10,614.50x = 86,411,892.54
5. Step 5: Solve for x
   x = 86,411,892.54/10,614.50
6. Step 6: Final answer
   x = 8,140.93