Finding the Fourth Proportional to 9,291.98, 12,822.66 and 5,042.86

Step by Step Solution

1. Step 1: Write the proportion equation
   9,291.98 : 12,822.66 = 5,042.86 : x
2. Step 2: Convert to fraction form
   9,291.98/12,822.66 = 5,042.86/x
3. Step 3: Cross multiply
   9,291.98x = 12,822.66 × 5,042.86
4. Step 4: Simplify right side
   9,291.98x = 64,662,879.21
5. Step 5: Solve for x
   x = 64,662,879.21/9,291.98
6. Step 6: Final answer
   x = 6,959.00