Finding the Fourth Proportional to 10,422.38, 14,381.54 and 5,945.87

Step by Step Solution

1. Step 1: Write the proportion equation
   10,422.38 : 14,381.54 = 5,945.87 : x
2. Step 2: Convert to fraction form
   10,422.38/14,381.54 = 5,945.87/x
3. Step 3: Cross multiply
   10,422.38x = 14,381.54 × 5,945.87
4. Step 4: Simplify right side
   10,422.38x = 85,510,695.33
5. Step 5: Solve for x
   x = 85,510,695.33/10,422.38
6. Step 6: Final answer
   x = 8,204.53