Finding the Fourth Proportional to 9,314.12, 12,853.55 and 5,065.20

Step by Step Solution

1. Step 1: Write the proportion equation
   9,314.12 : 12,853.55 = 5,065.20 : x
2. Step 2: Convert to fraction form
   9,314.12/12,853.55 = 5,065.20/x
3. Step 3: Cross multiply
   9,314.12x = 12,853.55 × 5,065.20
4. Step 4: Simplify right side
   9,314.12x = 65,105,814.12
5. Step 5: Solve for x
   x = 65,105,814.12/9,314.12
6. Step 6: Final answer
   x = 6,990.01