Finding the Fourth Proportional to 1,037.89, 1,432.29 and 565.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,037.89 : 1,432.29 = 565.78 : x
2. Step 2: Convert to fraction form
   1,037.89/1,432.29 = 565.78/x
3. Step 3: Cross multiply
   1,037.89x = 1,432.29 × 565.78
4. Step 4: Simplify right side
   1,037.89x = 810,361.04
5. Step 5: Solve for x
   x = 810,361.04/1,037.89
6. Step 6: Final answer
   x = 780.78