Finding the Fourth Proportional to 11,191.83, 16,792.59 and 5,644.14

Step by Step Solution

1. Step 1: Write the proportion equation
   11,191.83 : 16,792.59 = 5,644.14 : x
2. Step 2: Convert to fraction form
   11,191.83/16,792.59 = 5,644.14/x
3. Step 3: Cross multiply
   11,191.83x = 16,792.59 × 5,644.14
4. Step 4: Simplify right side
   11,191.83x = 94,779,728.92
5. Step 5: Solve for x
   x = 94,779,728.92/11,191.83
6. Step 6: Final answer
   x = 8,468.65