Finding the Fourth Proportional to 1,787.74, 2,464.78 and 1,538.54

Step by Step Solution

1. Step 1: Write the proportion equation
   1,787.74 : 2,464.78 = 1,538.54 : x
2. Step 2: Convert to fraction form
   1,787.74/2,464.78 = 1,538.54/x
3. Step 3: Cross multiply
   1,787.74x = 2,464.78 × 1,538.54
4. Step 4: Simplify right side
   1,787.74x = 3,792,162.62
5. Step 5: Solve for x
   x = 3,792,162.62/1,787.74
6. Step 6: Final answer
   x = 2,121.20