Finding the Fourth Proportional to 10,612.32, 14,645.52 and 5,896.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,612.32 : 14,645.52 = 5,896.50 : x
2. Step 2: Convert to fraction form
   10,612.32/14,645.52 = 5,896.50/x
3. Step 3: Cross multiply
   10,612.32x = 14,645.52 × 5,896.50
4. Step 4: Simplify right side
   10,612.32x = 86,357,308.68
5. Step 5: Solve for x
   x = 86,357,308.68/10,612.32
6. Step 6: Final answer
   x = 8,137.46