Finding the Fourth Proportional to 3,648.80, 5,034.48 and 2,077.76

Step by Step Solution

1. Step 1: Write the proportion equation
   3,648.80 : 5,034.48 = 2,077.76 : x
2. Step 2: Convert to fraction form
   3,648.80/5,034.48 = 2,077.76/x
3. Step 3: Cross multiply
   3,648.80x = 5,034.48 × 2,077.76
4. Step 4: Simplify right side
   3,648.80x = 10,460,441.16
5. Step 5: Solve for x
   x = 10,460,441.16/3,648.80
6. Step 6: Final answer
   x = 2,866.82