Finding the Fourth Proportional to 9,314.68, 12,854.42 and 5,336.14

Step by Step Solution

1. Step 1: Write the proportion equation
   9,314.68 : 12,854.42 = 5,336.14 : x
2. Step 2: Convert to fraction form
   9,314.68/12,854.42 = 5,336.14/x
3. Step 3: Cross multiply
   9,314.68x = 12,854.42 × 5,336.14
4. Step 4: Simplify right side
   9,314.68x = 68,592,984.74
5. Step 5: Solve for x
   x = 68,592,984.74/9,314.68
6. Step 6: Final answer
   x = 7,363.97