Finding the Fourth Proportional to 10,820.16, 14,909.52 and 8,302.16

Step by Step Solution

1. Step 1: Write the proportion equation
   10,820.16 : 14,909.52 = 8,302.16 : x
2. Step 2: Convert to fraction form
   10,820.16/14,909.52 = 8,302.16/x
3. Step 3: Cross multiply
   10,820.16x = 14,909.52 × 8,302.16
4. Step 4: Simplify right side
   10,820.16x = 123,781,220.56
5. Step 5: Solve for x
   x = 123,781,220.56/10,820.16
6. Step 6: Final answer
   x = 11,439.87