Finding the Fourth Proportional to 1,003.57, 1,384.91 and 584.07

Step by Step Solution

1. Step 1: Write the proportion equation
   1,003.57 : 1,384.91 = 584.07 : x
2. Step 2: Convert to fraction form
   1,003.57/1,384.91 = 584.07/x
3. Step 3: Cross multiply
   1,003.57x = 1,384.91 × 584.07
4. Step 4: Simplify right side
   1,003.57x = 808,878.46
5. Step 5: Solve for x
   x = 808,878.46/1,003.57
6. Step 6: Final answer
   x = 806.00