Finding the Fourth Proportional to 9,502.76, 13,105.32 and 5,966.30

Step by Step Solution

1. Step 1: Write the proportion equation
   9,502.76 : 13,105.32 = 5,966.30 : x
2. Step 2: Convert to fraction form
   9,502.76/13,105.32 = 5,966.30/x
3. Step 3: Cross multiply
   9,502.76x = 13,105.32 × 5,966.30
4. Step 4: Simplify right side
   9,502.76x = 78,190,270.72
5. Step 5: Solve for x
   x = 78,190,270.72/9,502.76
6. Step 6: Final answer
   x = 8,228.16