Finding the Fourth Proportional to 9,314.14, 12,854.55 and 5,122.30

Step by Step Solution

1. Step 1: Write the proportion equation
   9,314.14 : 12,854.55 = 5,122.30 : x
2. Step 2: Convert to fraction form
   9,314.14/12,854.55 = 5,122.30/x
3. Step 3: Cross multiply
   9,314.14x = 12,854.55 × 5,122.30
4. Step 4: Simplify right side
   9,314.14x = 65,844,861.47
5. Step 5: Solve for x
   x = 65,844,861.47/9,314.14
6. Step 6: Final answer
   x = 7,069.34