Finding the Fourth Proportional to 11,817.16, 17,714.22 and 5,665.48

Step by Step Solution

1. Step 1: Write the proportion equation
   11,817.16 : 17,714.22 = 5,665.48 : x
2. Step 2: Convert to fraction form
   11,817.16/17,714.22 = 5,665.48/x
3. Step 3: Cross multiply
   11,817.16x = 17,714.22 × 5,665.48
4. Step 4: Simplify right side
   11,817.16x = 100,359,559.13
5. Step 5: Solve for x
   x = 100,359,559.13/11,817.16
6. Step 6: Final answer
   x = 8,492.70