Finding the Fourth Proportional to 2,506.46, 3,776.61 and 2,077.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,506.46 : 3,776.61 = 2,077.25 : x
2. Step 2: Convert to fraction form
   2,506.46/3,776.61 = 2,077.25/x
3. Step 3: Cross multiply
   2,506.46x = 3,776.61 × 2,077.25
4. Step 4: Simplify right side
   2,506.46x = 7,844,952.74
5. Step 5: Solve for x
   x = 7,844,952.74/2,506.46
6. Step 6: Final answer
   x = 3,129.89