Finding the Fourth Proportional to 1,565.04, 2,162.52 and 1,288.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,565.04 : 2,162.52 = 1,288.56 : x
2. Step 2: Convert to fraction form
   1,565.04/2,162.52 = 1,288.56/x
3. Step 3: Cross multiply
   1,565.04x = 2,162.52 × 1,288.56
4. Step 4: Simplify right side
   1,565.04x = 2,786,536.77
5. Step 5: Solve for x
   x = 2,786,536.77/1,565.04
6. Step 6: Final answer
   x = 1,780.49