Finding the Fourth Proportional to 3,648.91, 5,035.50 and 2,077

Step by Step Solution

1. Step 1: Write the proportion equation
   3,648.91 : 5,035.50 = 2,077 : x
2. Step 2: Convert to fraction form
   3,648.91/5,035.50 = 2,077/x
3. Step 3: Cross multiply
   3,648.91x = 5,035.50 × 2,077
4. Step 4: Simplify right side
   3,648.91x = 10,458,728.31
5. Step 5: Solve for x
   x = 10,458,728.31/3,648.91
6. Step 6: Final answer
   x = 2,866.26