Finding the Fourth Proportional to 9,714.60, 13,404.42 and 5,522.60

Step by Step Solution

1. Step 1: Write the proportion equation
   9,714.60 : 13,404.42 = 5,522.60 : x
2. Step 2: Convert to fraction form
   9,714.60/13,404.42 = 5,522.60/x
3. Step 3: Cross multiply
   9,714.60x = 13,404.42 × 5,522.60
4. Step 4: Simplify right side
   9,714.60x = 74,027,249.89
5. Step 5: Solve for x
   x = 74,027,249.89/9,714.60
6. Step 6: Final answer
   x = 7,620.21