Finding the Fourth Proportional to 11,092.86, 16,644.17 and 5,826.65

Step by Step Solution

1. Step 1: Write the proportion equation
   11,092.86 : 16,644.17 = 5,826.65 : x
2. Step 2: Convert to fraction form
   11,092.86/16,644.17 = 5,826.65/x
3. Step 3: Cross multiply
   11,092.86x = 16,644.17 × 5,826.65
4. Step 4: Simplify right side
   11,092.86x = 96,979,672.03
5. Step 5: Solve for x
   x = 96,979,672.03/11,092.86
6. Step 6: Final answer
   x = 8,742.53