Finding the Fourth Proportional to 9,314.39, 12,853.59 and 5,122.64

Step by Step Solution

1. Step 1: Write the proportion equation
   9,314.39 : 12,853.59 = 5,122.64 : x
2. Step 2: Convert to fraction form
   9,314.39/12,853.59 = 5,122.64/x
3. Step 3: Cross multiply
   9,314.39x = 12,853.59 × 5,122.64
4. Step 4: Simplify right side
   9,314.39x = 65,844,250.01
5. Step 5: Solve for x
   x = 65,844,250.01/9,314.39
6. Step 6: Final answer
   x = 7,069.09