Finding the Fourth Proportional to 1,565.74, 2,149.20 and 1,384.73

Step by Step Solution

1. Step 1: Write the proportion equation
   1,565.74 : 2,149.20 = 1,384.73 : x
2. Step 2: Convert to fraction form
   1,565.74/2,149.20 = 1,384.73/x
3. Step 3: Cross multiply
   1,565.74x = 2,149.20 × 1,384.73
4. Step 4: Simplify right side
   1,565.74x = 2,976,061.72
5. Step 5: Solve for x
   x = 2,976,061.72/1,565.74
6. Step 6: Final answer
   x = 1,900.74