Finding the Fourth Proportional to 11,102.16, 16,661.45 and 5,258.78

Step by Step Solution

1. Step 1: Write the proportion equation
   11,102.16 : 16,661.45 = 5,258.78 : x
2. Step 2: Convert to fraction form
   11,102.16/16,661.45 = 5,258.78/x
3. Step 3: Cross multiply
   11,102.16x = 16,661.45 × 5,258.78
4. Step 4: Simplify right side
   11,102.16x = 87,618,954.83
5. Step 5: Solve for x
   x = 87,618,954.83/11,102.16
6. Step 6: Final answer
   x = 7,892.06