Finding the Fourth Proportional to 3,728.72, 5,585.90 and 1,877.64

Step by Step Solution

1. Step 1: Write the proportion equation
   3,728.72 : 5,585.90 = 1,877.64 : x
2. Step 2: Convert to fraction form
   3,728.72/5,585.90 = 1,877.64/x
3. Step 3: Cross multiply
   3,728.72x = 5,585.90 × 1,877.64
4. Step 4: Simplify right side
   3,728.72x = 10,488,299.89
5. Step 5: Solve for x
   x = 10,488,299.89/3,728.72
6. Step 6: Final answer
   x = 2,812.85