Finding the Fourth Proportional to 2,677.83, 3,698.42 and 2,261.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,677.83 : 3,698.42 = 2,261.69 : x
2. Step 2: Convert to fraction form
   2,677.83/3,698.42 = 2,261.69/x
3. Step 3: Cross multiply
   2,677.83x = 3,698.42 × 2,261.69
4. Step 4: Simplify right side
   2,677.83x = 8,364,663.60
5. Step 5: Solve for x
   x = 8,364,663.60/2,677.83
6. Step 6: Final answer
   x = 3,123.68