Finding the Fourth Proportional to 9,714.24, 13,407.84 and 5,522.88

Step by Step Solution

1. Step 1: Write the proportion equation
   9,714.24 : 13,407.84 = 5,522.88 : x
2. Step 2: Convert to fraction form
   9,714.24/13,407.84 = 5,522.88/x
3. Step 3: Cross multiply
   9,714.24x = 13,407.84 × 5,522.88
4. Step 4: Simplify right side
   9,714.24x = 74,049,891.38
5. Step 5: Solve for x
   x = 74,049,891.38/9,714.24
6. Step 6: Final answer
   x = 7,622.82