Finding the Fourth Proportional to 9,288.16, 12,817.98 and 5,309.20

Step by Step Solution

1. Step 1: Write the proportion equation
   9,288.16 : 12,817.98 = 5,309.20 : x
2. Step 2: Convert to fraction form
   9,288.16/12,817.98 = 5,309.20/x
3. Step 3: Cross multiply
   9,288.16x = 12,817.98 × 5,309.20
4. Step 4: Simplify right side
   9,288.16x = 68,053,219.42
5. Step 5: Solve for x
   x = 68,053,219.42/9,288.16
6. Step 6: Final answer
   x = 7,326.88