Finding the Fourth Proportional to 11,402.22, 17,116.32 and 7,656.78

Step by Step Solution

1. Step 1: Write the proportion equation
   11,402.22 : 17,116.32 = 7,656.78 : x
2. Step 2: Convert to fraction form
   11,402.22/17,116.32 = 7,656.78/x
3. Step 3: Cross multiply
   11,402.22x = 17,116.32 × 7,656.78
4. Step 4: Simplify right side
   11,402.22x = 131,055,896.65
5. Step 5: Solve for x
   x = 131,055,896.65/11,402.22
6. Step 6: Final answer
   x = 11,493.89