Finding the Fourth Proportional to 10,223.50, 14,108.30 and 5,748.02

Step by Step Solution

1. Step 1: Write the proportion equation
   10,223.50 : 14,108.30 = 5,748.02 : x
2. Step 2: Convert to fraction form
   10,223.50/14,108.30 = 5,748.02/x
3. Step 3: Cross multiply
   10,223.50x = 14,108.30 × 5,748.02
4. Step 4: Simplify right side
   10,223.50x = 81,094,790.57
5. Step 5: Solve for x
   x = 81,094,790.57/10,223.50
6. Step 6: Final answer
   x = 7,932.19