Finding the Fourth Proportional to 1,565.57, 2,160.50 and 1,006.05

Step by Step Solution

1. Step 1: Write the proportion equation
   1,565.57 : 2,160.50 = 1,006.05 : x
2. Step 2: Convert to fraction form
   1,565.57/2,160.50 = 1,006.05/x
3. Step 3: Cross multiply
   1,565.57x = 2,160.50 × 1,006.05
4. Step 4: Simplify right side
   1,565.57x = 2,173,571.03
5. Step 5: Solve for x
   x = 2,173,571.03/1,565.57
6. Step 6: Final answer
   x = 1,388.36