Finding the Fourth Proportional to 12,642.41, 17,446.50 and 7,338.26

Step by Step Solution

1. Step 1: Write the proportion equation
   12,642.41 : 17,446.50 = 7,338.26 : x
2. Step 2: Convert to fraction form
   12,642.41/17,446.50 = 7,338.26/x
3. Step 3: Cross multiply
   12,642.41x = 17,446.50 × 7,338.26
4. Step 4: Simplify right side
   12,642.41x = 128,026,865.86
5. Step 5: Solve for x
   x = 128,026,865.86/12,642.41
6. Step 6: Final answer
   x = 10,126.78