Finding the Fourth Proportional to 10,026.78, 13,830.54 and 8,042.10

Step by Step Solution

1. Step 1: Write the proportion equation
   10,026.78 : 13,830.54 = 8,042.10 : x
2. Step 2: Convert to fraction form
   10,026.78/13,830.54 = 8,042.10/x
3. Step 3: Cross multiply
   10,026.78x = 13,830.54 × 8,042.10
4. Step 4: Simplify right side
   10,026.78x = 111,226,585.73
5. Step 5: Solve for x
   x = 111,226,585.73/10,026.78
6. Step 6: Final answer
   x = 11,092.95