Finding the Fourth Proportional to 9,152.50, 12,596.40 and 7,546.30

Step by Step Solution

1. Step 1: Write the proportion equation
   9,152.50 : 12,596.40 = 7,546.30 : x
2. Step 2: Convert to fraction form
   9,152.50/12,596.40 = 7,546.30/x
3. Step 3: Cross multiply
   9,152.50x = 12,596.40 × 7,546.30
4. Step 4: Simplify right side
   9,152.50x = 95,056,213.32
5. Step 5: Solve for x
   x = 95,056,213.32/9,152.50
6. Step 6: Final answer
   x = 10,385.82