Finding the Fourth Proportional to 9,314.88, 12,854.64 and 5,065.98

Step by Step Solution

1. Step 1: Write the proportion equation
   9,314.88 : 12,854.64 = 5,065.98 : x
2. Step 2: Convert to fraction form
   9,314.88/12,854.64 = 5,065.98/x
3. Step 3: Cross multiply
   9,314.88x = 12,854.64 × 5,065.98
4. Step 4: Simplify right side
   9,314.88x = 65,121,349.15
5. Step 5: Solve for x
   x = 65,121,349.15/9,314.88
6. Step 6: Final answer
   x = 6,991.11