Finding the Fourth Proportional to 3,778.25, 5,663.32 and 1,826.15

Step by Step Solution

1. Step 1: Write the proportion equation
   3,778.25 : 5,663.32 = 1,826.15 : x
2. Step 2: Convert to fraction form
   3,778.25/5,663.32 = 1,826.15/x
3. Step 3: Cross multiply
   3,778.25x = 5,663.32 × 1,826.15
4. Step 4: Simplify right side
   3,778.25x = 10,342,071.82
5. Step 5: Solve for x
   x = 10,342,071.82/3,778.25
6. Step 6: Final answer
   x = 2,737.27