Finding the Fourth Proportional to 1,003.76, 1,384.76 and 584.08

Step by Step Solution

1. Step 1: Write the proportion equation
   1,003.76 : 1,384.76 = 584.08 : x
2. Step 2: Convert to fraction form
   1,003.76/1,384.76 = 584.08/x
3. Step 3: Cross multiply
   1,003.76x = 1,384.76 × 584.08
4. Step 4: Simplify right side
   1,003.76x = 808,810.62
5. Step 5: Solve for x
   x = 808,810.62/1,003.76
6. Step 6: Final answer
   x = 805.78