Finding the Fourth Proportional to 10,478.30, 14,459.50 and 5,761.68

Step by Step Solution

1. Step 1: Write the proportion equation
   10,478.30 : 14,459.50 = 5,761.68 : x
2. Step 2: Convert to fraction form
   10,478.30/14,459.50 = 5,761.68/x
3. Step 3: Cross multiply
   10,478.30x = 14,459.50 × 5,761.68
4. Step 4: Simplify right side
   10,478.30x = 83,311,011.96
5. Step 5: Solve for x
   x = 83,311,011.96/10,478.30
6. Step 6: Final answer
   x = 7,950.81