Finding the Fourth Proportional to 1,025.25, 1,414.88 and 559.53

Step by Step Solution

1. Step 1: Write the proportion equation
   1,025.25 : 1,414.88 = 559.53 : x
2. Step 2: Convert to fraction form
   1,025.25/1,414.88 = 559.53/x
3. Step 3: Cross multiply
   1,025.25x = 1,414.88 × 559.53
4. Step 4: Simplify right side
   1,025.25x = 791,667.81
5. Step 5: Solve for x
   x = 791,667.81/1,025.25
6. Step 6: Final answer
   x = 772.17