Finding the Fourth Proportional to 9,314.83, 12,854.56 and 5,335.86

Step by Step Solution

1. Step 1: Write the proportion equation
   9,314.83 : 12,854.56 = 5,335.86 : x
2. Step 2: Convert to fraction form
   9,314.83/12,854.56 = 5,335.86/x
3. Step 3: Cross multiply
   9,314.83x = 12,854.56 × 5,335.86
4. Step 4: Simplify right side
   9,314.83x = 68,590,132.52
5. Step 5: Solve for x
   x = 68,590,132.52/9,314.83
6. Step 6: Final answer
   x = 7,363.54