Finding the Fourth Proportional to 10,329.32, 14,254.35 and 5,613.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,329.32 : 14,254.35 = 5,613.50 : x
2. Step 2: Convert to fraction form
   10,329.32/14,254.35 = 5,613.50/x
3. Step 3: Cross multiply
   10,329.32x = 14,254.35 × 5,613.50
4. Step 4: Simplify right side
   10,329.32x = 80,016,808.31
5. Step 5: Solve for x
   x = 80,016,808.31/10,329.32
6. Step 6: Final answer
   x = 7,746.57