Finding the Fourth Proportional to 10,615.32, 14,649.66 and 5,899.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,615.32 : 14,649.66 = 5,899.50 : x
2. Step 2: Convert to fraction form
   10,615.32/14,649.66 = 5,899.50/x
3. Step 3: Cross multiply
   10,615.32x = 14,649.66 × 5,899.50
4. Step 4: Simplify right side
   10,615.32x = 86,425,669.17
5. Step 5: Solve for x
   x = 86,425,669.17/10,615.32
6. Step 6: Final answer
   x = 8,141.60