Finding the Fourth Proportional to 11,078.23, 15,293.43 and 7,677.82

Step by Step Solution

1. Step 1: Write the proportion equation
   11,078.23 : 15,293.43 = 7,677.82 : x
2. Step 2: Convert to fraction form
   11,078.23/15,293.43 = 7,677.82/x
3. Step 3: Cross multiply
   11,078.23x = 15,293.43 × 7,677.82
4. Step 4: Simplify right side
   11,078.23x = 117,420,202.72
5. Step 5: Solve for x
   x = 117,420,202.72/11,078.23
6. Step 6: Final answer
   x = 10,599.18