Finding the Fourth Proportional to 7,704.42, 10,627.04 and 5,314.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,704.42 : 10,627.04 = 5,314.50 : x
2. Step 2: Convert to fraction form
   7,704.42/10,627.04 = 5,314.50/x
3. Step 3: Cross multiply
   7,704.42x = 10,627.04 × 5,314.50
4. Step 4: Simplify right side
   7,704.42x = 56,477,404.08
5. Step 5: Solve for x
   x = 56,477,404.08/7,704.42
6. Step 6: Final answer
   x = 7,330.52