Finding the Fourth Proportional to 9,314.71, 12,853.22 and 5,335.59

Step by Step Solution

1. Step 1: Write the proportion equation
   9,314.71 : 12,853.22 = 5,335.59 : x
2. Step 2: Convert to fraction form
   9,314.71/12,853.22 = 5,335.59/x
3. Step 3: Cross multiply
   9,314.71x = 12,853.22 × 5,335.59
4. Step 4: Simplify right side
   9,314.71x = 68,579,461.17
5. Step 5: Solve for x
   x = 68,579,461.17/9,314.71
6. Step 6: Final answer
   x = 7,362.49