Finding the Fourth Proportional to 10,424, 14,385.10 and 5,708.32

Step by Step Solution

1. Step 1: Write the proportion equation
   10,424 : 14,385.10 = 5,708.32 : x
2. Step 2: Convert to fraction form
   10,424/14,385.10 = 5,708.32/x
3. Step 3: Cross multiply
   10,424x = 14,385.10 × 5,708.32
4. Step 4: Simplify right side
   10,424x = 82,114,754.03
5. Step 5: Solve for x
   x = 82,114,754.03/10,424
6. Step 6: Final answer
   x = 7,877.47