Finding the Fourth Proportional to 9,314.64, 12,853.94 and 5,122.89

Step by Step Solution

1. Step 1: Write the proportion equation
   9,314.64 : 12,853.94 = 5,122.89 : x
2. Step 2: Convert to fraction form
   9,314.64/12,853.94 = 5,122.89/x
3. Step 3: Cross multiply
   9,314.64x = 12,853.94 × 5,122.89
4. Step 4: Simplify right side
   9,314.64x = 65,849,256.42
5. Step 5: Solve for x
   x = 65,849,256.42/9,314.64
6. Step 6: Final answer
   x = 7,069.44