Finding the Fourth Proportional to 9,314.30, 12,853.99 and 5,065.65

Step by Step Solution

1. Step 1: Write the proportion equation
   9,314.30 : 12,853.99 = 5,065.65 : x
2. Step 2: Convert to fraction form
   9,314.30/12,853.99 = 5,065.65/x
3. Step 3: Cross multiply
   9,314.30x = 12,853.99 × 5,065.65
4. Step 4: Simplify right side
   9,314.30x = 65,113,820.78
5. Step 5: Solve for x
   x = 65,113,820.78/9,314.30
6. Step 6: Final answer
   x = 6,990.74