Finding the Fourth Proportional to 1,025.67, 1,415.32 and 583.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,025.67 : 1,415.32 = 583.50 : x
2. Step 2: Convert to fraction form
   1,025.67/1,415.32 = 583.50/x
3. Step 3: Cross multiply
   1,025.67x = 1,415.32 × 583.50
4. Step 4: Simplify right side
   1,025.67x = 825,839.22
5. Step 5: Solve for x
   x = 825,839.22/1,025.67
6. Step 6: Final answer
   x = 805.17