Finding the Fourth Proportional to 1,017.31, 1,525.98 and 584.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,017.31 : 1,525.98 = 584.50 : x
2. Step 2: Convert to fraction form
   1,017.31/1,525.98 = 584.50/x
3. Step 3: Cross multiply
   1,017.31x = 1,525.98 × 584.50
4. Step 4: Simplify right side
   1,017.31x = 891,935.31
5. Step 5: Solve for x
   x = 891,935.31/1,017.31
6. Step 6: Final answer
   x = 876.76