Finding the Fourth Proportional to 9,314.37, 12,853.99 and 5,335.83

Step by Step Solution

1. Step 1: Write the proportion equation
   9,314.37 : 12,853.99 = 5,335.83 : x
2. Step 2: Convert to fraction form
   9,314.37/12,853.99 = 5,335.83/x
3. Step 3: Cross multiply
   9,314.37x = 12,853.99 × 5,335.83
4. Step 4: Simplify right side
   9,314.37x = 68,586,678.78
5. Step 5: Solve for x
   x = 68,586,678.78/9,314.37
6. Step 6: Final answer
   x = 7,363.53