Finding the Fourth Proportional to 9,328.42, 12,869.85 and 5,693.14

Step by Step Solution

1. Step 1: Write the proportion equation
   9,328.42 : 12,869.85 = 5,693.14 : x
2. Step 2: Convert to fraction form
   9,328.42/12,869.85 = 5,693.14/x
3. Step 3: Cross multiply
   9,328.42x = 12,869.85 × 5,693.14
4. Step 4: Simplify right side
   9,328.42x = 73,269,857.83
5. Step 5: Solve for x
   x = 73,269,857.83/9,328.42
6. Step 6: Final answer
   x = 7,854.48