Finding the Fourth Proportional to 10,454.38, 14,426.98 and 5,674.33

Step by Step Solution

1. Step 1: Write the proportion equation
   10,454.38 : 14,426.98 = 5,674.33 : x
2. Step 2: Convert to fraction form
   10,454.38/14,426.98 = 5,674.33/x
3. Step 3: Cross multiply
   10,454.38x = 14,426.98 × 5,674.33
4. Step 4: Simplify right side
   10,454.38x = 81,863,445.42
5. Step 5: Solve for x
   x = 81,863,445.42/10,454.38
6. Step 6: Final answer
   x = 7,830.54