Finding the Fourth Proportional to 9,314.10, 12,853.46 and 5,122.35

Step by Step Solution

1. Step 1: Write the proportion equation
   9,314.10 : 12,853.46 = 5,122.35 : x
2. Step 2: Convert to fraction form
   9,314.10/12,853.46 = 5,122.35/x
3. Step 3: Cross multiply
   9,314.10x = 12,853.46 × 5,122.35
4. Step 4: Simplify right side
   9,314.10x = 65,839,920.83
5. Step 5: Solve for x
   x = 65,839,920.83/9,314.10
6. Step 6: Final answer
   x = 7,068.84