Finding the Fourth Proportional to 11,677.76, 17,514.81 and 5,102.18

Step by Step Solution

1. Step 1: Write the proportion equation
   11,677.76 : 17,514.81 = 5,102.18 : x
2. Step 2: Convert to fraction form
   11,677.76/17,514.81 = 5,102.18/x
3. Step 3: Cross multiply
   11,677.76x = 17,514.81 × 5,102.18
4. Step 4: Simplify right side
   11,677.76x = 89,363,713.29
5. Step 5: Solve for x
   x = 89,363,713.29/11,677.76
6. Step 6: Final answer
   x = 7,652.47