Finding the Fourth Proportional to 11,649.30, 17,461.39 and 5,719.29

Step by Step Solution

1. Step 1: Write the proportion equation
   11,649.30 : 17,461.39 = 5,719.29 : x
2. Step 2: Convert to fraction form
   11,649.30/17,461.39 = 5,719.29/x
3. Step 3: Cross multiply
   11,649.30x = 17,461.39 × 5,719.29
4. Step 4: Simplify right side
   11,649.30x = 99,866,804.40
5. Step 5: Solve for x
   x = 99,866,804.40/11,649.30
6. Step 6: Final answer
   x = 8,572.77