Finding the Fourth Proportional to 8,092.96, 12,139.47 and 2,546.74

Step by Step Solution

1. Step 1: Write the proportion equation
   8,092.96 : 12,139.47 = 2,546.74 : x
2. Step 2: Convert to fraction form
   8,092.96/12,139.47 = 2,546.74/x
3. Step 3: Cross multiply
   8,092.96x = 12,139.47 × 2,546.74
4. Step 4: Simplify right side
   8,092.96x = 30,916,073.83
5. Step 5: Solve for x
   x = 30,916,073.83/8,092.96
6. Step 6: Final answer
   x = 3,820.12