Finding the Fourth Proportional to 3,756.06, 5,182.96 and 2,077.42

Step by Step Solution

1. Step 1: Write the proportion equation
   3,756.06 : 5,182.96 = 2,077.42 : x
2. Step 2: Convert to fraction form
   3,756.06/5,182.96 = 2,077.42/x
3. Step 3: Cross multiply
   3,756.06x = 5,182.96 × 2,077.42
4. Step 4: Simplify right side
   3,756.06x = 10,767,200.65
5. Step 5: Solve for x
   x = 10,767,200.65/3,756.06
6. Step 6: Final answer
   x = 2,866.62