Finding the Fourth Proportional to 1,082.49, 1,493.83 and 585.12

Step by Step Solution

1. Step 1: Write the proportion equation
   1,082.49 : 1,493.83 = 585.12 : x
2. Step 2: Convert to fraction form
   1,082.49/1,493.83 = 585.12/x
3. Step 3: Cross multiply
   1,082.49x = 1,493.83 × 585.12
4. Step 4: Simplify right side
   1,082.49x = 874,075.32
5. Step 5: Solve for x
   x = 874,075.32/1,082.49
6. Step 6: Final answer
   x = 807.47