Finding the Fourth Proportional to 9,714.48, 13,406.04 and 5,522.64

Step by Step Solution

1. Step 1: Write the proportion equation
   9,714.48 : 13,406.04 = 5,522.64 : x
2. Step 2: Convert to fraction form
   9,714.48/13,406.04 = 5,522.64/x
3. Step 3: Cross multiply
   9,714.48x = 13,406.04 × 5,522.64
4. Step 4: Simplify right side
   9,714.48x = 74,036,732.75
5. Step 5: Solve for x
   x = 74,036,732.75/9,714.48
6. Step 6: Final answer
   x = 7,621.28