Finding the Fourth Proportional to 9,411.78, 14,123.10 and 5,029.20

Step by Step Solution

1. Step 1: Write the proportion equation
   9,411.78 : 14,123.10 = 5,029.20 : x
2. Step 2: Convert to fraction form
   9,411.78/14,123.10 = 5,029.20/x
3. Step 3: Cross multiply
   9,411.78x = 14,123.10 × 5,029.20
4. Step 4: Simplify right side
   9,411.78x = 71,027,894.52
5. Step 5: Solve for x
   x = 71,027,894.52/9,411.78
6. Step 6: Final answer
   x = 7,546.70