Finding the Fourth Proportional to 5,116.90, 7,677.15 and 2,196.10

Step by Step Solution

1. Step 1: Write the proportion equation
   5,116.90 : 7,677.15 = 2,196.10 : x
2. Step 2: Convert to fraction form
   5,116.90/7,677.15 = 2,196.10/x
3. Step 3: Cross multiply
   5,116.90x = 7,677.15 × 2,196.10
4. Step 4: Simplify right side
   5,116.90x = 16,859,789.12
5. Step 5: Solve for x
   x = 16,859,789.12/5,116.90
6. Step 6: Final answer
   x = 3,294.92