Finding the Fourth Proportional to 10,954.92, 16,409.34 and 5,116.20

Step by Step Solution

1. Step 1: Write the proportion equation
   10,954.92 : 16,409.34 = 5,116.20 : x
2. Step 2: Convert to fraction form
   10,954.92/16,409.34 = 5,116.20/x
3. Step 3: Cross multiply
   10,954.92x = 16,409.34 × 5,116.20
4. Step 4: Simplify right side
   10,954.92x = 83,953,465.31
5. Step 5: Solve for x
   x = 83,953,465.31/10,954.92
6. Step 6: Final answer
   x = 7,663.54