Finding the Fourth Proportional to 12,538.29, 17,302.61 and 6,872.78

Step by Step Solution

1. Step 1: Write the proportion equation
   12,538.29 : 17,302.61 = 6,872.78 : x
2. Step 2: Convert to fraction form
   12,538.29/17,302.61 = 6,872.78/x
3. Step 3: Cross multiply
   12,538.29x = 17,302.61 × 6,872.78
4. Step 4: Simplify right side
   12,538.29x = 118,917,092.39
5. Step 5: Solve for x
   x = 118,917,092.39/12,538.29
6. Step 6: Final answer
   x = 9,484.31