Finding the Fourth Proportional to 9,314.70, 12,854.41 and 5,335.81

Step by Step Solution

1. Step 1: Write the proportion equation
   9,314.70 : 12,854.41 = 5,335.81 : x
2. Step 2: Convert to fraction form
   9,314.70/12,854.41 = 5,335.81/x
3. Step 3: Cross multiply
   9,314.70x = 12,854.41 × 5,335.81
4. Step 4: Simplify right side
   9,314.70x = 68,588,689.42
5. Step 5: Solve for x
   x = 68,588,689.42/9,314.70
6. Step 6: Final answer
   x = 7,363.49