Finding the Fourth Proportional to 1,082.61, 1,494.00 and 585.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,082.61 : 1,494.00 = 585.25 : x
2. Step 2: Convert to fraction form
   1,082.61/1,494.00 = 585.25/x
3. Step 3: Cross multiply
   1,082.61x = 1,494.00 × 585.25
4. Step 4: Simplify right side
   1,082.61x = 874,363.10
5. Step 5: Solve for x
   x = 874,363.10/1,082.61
6. Step 6: Final answer
   x = 807.64