Finding the Fourth Proportional to 2,744.01, 3,787.05 and 1,565.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,744.01 : 3,787.05 = 1,565.25 : x
2. Step 2: Convert to fraction form
   2,744.01/3,787.05 = 1,565.25/x
3. Step 3: Cross multiply
   2,744.01x = 3,787.05 × 1,565.25
4. Step 4: Simplify right side
   2,744.01x = 5,927,680.01
5. Step 5: Solve for x
   x = 5,927,680.01/2,744.01
6. Step 6: Final answer
   x = 2,160.23