Finding the Fourth Proportional to 782.33, 1,079.69 and 585.50

Step by Step Solution

1. Step 1: Write the proportion equation
   782.33 : 1,079.69 = 585.50 : x
2. Step 2: Convert to fraction form
   782.33/1,079.69 = 585.50/x
3. Step 3: Cross multiply
   782.33x = 1,079.69 × 585.50
4. Step 4: Simplify right side
   782.33x = 632,150.17
5. Step 5: Solve for x
   x = 632,150.17/782.33
6. Step 6: Final answer
   x = 808.04