Finding the Fourth Proportional to 11,766, 17,655.48 and 5,610

Step by Step Solution

1. Step 1: Write the proportion equation
   11,766 : 17,655.48 = 5,610 : x
2. Step 2: Convert to fraction form
   11,766/17,655.48 = 5,610/x
3. Step 3: Cross multiply
   11,766x = 17,655.48 × 5,610
4. Step 4: Simplify right side
   11,766x = 99,047,242.80
5. Step 5: Solve for x
   x = 99,047,242.80/11,766
6. Step 6: Final answer
   x = 8,418.09