Finding the Fourth Proportional to 10,649.43, 14,681.88 and 7,458.42

Step by Step Solution

1. Step 1: Write the proportion equation
   10,649.43 : 14,681.88 = 7,458.42 : x
2. Step 2: Convert to fraction form
   10,649.43/14,681.88 = 7,458.42/x
3. Step 3: Cross multiply
   10,649.43x = 14,681.88 × 7,458.42
4. Step 4: Simplify right side
   10,649.43x = 109,503,627.43
5. Step 5: Solve for x
   x = 109,503,627.43/10,649.43
6. Step 6: Final answer
   x = 10,282.58