Finding the Fourth Proportional to 11,077.29, 16,626.87 and 5,238

Step by Step Solution

1. Step 1: Write the proportion equation
   11,077.29 : 16,626.87 = 5,238 : x
2. Step 2: Convert to fraction form
   11,077.29/16,626.87 = 5,238/x
3. Step 3: Cross multiply
   11,077.29x = 16,626.87 × 5,238
4. Step 4: Simplify right side
   11,077.29x = 87,091,545.06
5. Step 5: Solve for x
   x = 87,091,545.06/11,077.29
6. Step 6: Final answer
   x = 7,862.17