Finding the Fourth Proportional to 1,025.50, 1,415.15 and 583.46

Step by Step Solution

1. Step 1: Write the proportion equation
   1,025.50 : 1,415.15 = 583.46 : x
2. Step 2: Convert to fraction form
   1,025.50/1,415.15 = 583.46/x
3. Step 3: Cross multiply
   1,025.50x = 1,415.15 × 583.46
4. Step 4: Simplify right side
   1,025.50x = 825,683.42
5. Step 5: Solve for x
   x = 825,683.42/1,025.50
6. Step 6: Final answer
   x = 805.16