Finding the Fourth Proportional to 9,314.95, 12,854.63 and 5,123.20

Step by Step Solution

1. Step 1: Write the proportion equation
   9,314.95 : 12,854.63 = 5,123.20 : x
2. Step 2: Convert to fraction form
   9,314.95/12,854.63 = 5,123.20/x
3. Step 3: Cross multiply
   9,314.95x = 12,854.63 × 5,123.20
4. Step 4: Simplify right side
   9,314.95x = 65,856,840.42
5. Step 5: Solve for x
   x = 65,856,840.42/9,314.95
6. Step 6: Final answer
   x = 7,070.02