Finding the Fourth Proportional to 10,462.80, 14,439.58 and 5,748.06

Step by Step Solution

1. Step 1: Write the proportion equation
   10,462.80 : 14,439.58 = 5,748.06 : x
2. Step 2: Convert to fraction form
   10,462.80/14,439.58 = 5,748.06/x
3. Step 3: Cross multiply
   10,462.80x = 14,439.58 × 5,748.06
4. Step 4: Simplify right side
   10,462.80x = 82,999,572.21
5. Step 5: Solve for x
   x = 82,999,572.21/10,462.80
6. Step 6: Final answer
   x = 7,932.83