Finding the Fourth Proportional to 10,463.76, 14,440 and 5,748.32

Step by Step Solution

1. Step 1: Write the proportion equation
   10,463.76 : 14,440 = 5,748.32 : x
2. Step 2: Convert to fraction form
   10,463.76/14,440 = 5,748.32/x
3. Step 3: Cross multiply
   10,463.76x = 14,440 × 5,748.32
4. Step 4: Simplify right side
   10,463.76x = 83,005,740.80
5. Step 5: Solve for x
   x = 83,005,740.80/10,463.76
6. Step 6: Final answer
   x = 7,932.69