Finding the Fourth Proportional to 9,392.52, 12,961.16 and 5,200.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,392.52 : 12,961.16 = 5,200.50 : x
2. Step 2: Convert to fraction form
   9,392.52/12,961.16 = 5,200.50/x
3. Step 3: Cross multiply
   9,392.52x = 12,961.16 × 5,200.50
4. Step 4: Simplify right side
   9,392.52x = 67,404,512.58
5. Step 5: Solve for x
   x = 67,404,512.58/9,392.52
6. Step 6: Final answer
   x = 7,176.40