Finding the Fourth Proportional to 12,677.49, 17,498.52 and 7,642.11

Step by Step Solution

1. Step 1: Write the proportion equation
   12,677.49 : 17,498.52 = 7,642.11 : x
2. Step 2: Convert to fraction form
   12,677.49/17,498.52 = 7,642.11/x
3. Step 3: Cross multiply
   12,677.49x = 17,498.52 × 7,642.11
4. Step 4: Simplify right side
   12,677.49x = 133,725,614.68
5. Step 5: Solve for x
   x = 133,725,614.68/12,677.49
6. Step 6: Final answer
   x = 10,548.27