Finding the Fourth Proportional to 1,003.41, 1,384.86 and 584.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,003.41 : 1,384.86 = 584.02 : x
2. Step 2: Convert to fraction form
   1,003.41/1,384.86 = 584.02/x
3. Step 3: Cross multiply
   1,003.41x = 1,384.86 × 584.02
4. Step 4: Simplify right side
   1,003.41x = 808,785.94
5. Step 5: Solve for x
   x = 808,785.94/1,003.41
6. Step 6: Final answer
   x = 806.04