Finding the Fourth Proportional to 2,549.10, 3,818.16 and 1,766.82

Step by Step Solution

1. Step 1: Write the proportion equation
   2,549.10 : 3,818.16 = 1,766.82 : x
2. Step 2: Convert to fraction form
   2,549.10/3,818.16 = 1,766.82/x
3. Step 3: Cross multiply
   2,549.10x = 3,818.16 × 1,766.82
4. Step 4: Simplify right side
   2,549.10x = 6,746,001.45
5. Step 5: Solve for x
   x = 6,746,001.45/2,549.10
6. Step 6: Final answer
   x = 2,646.42