Finding the Fourth Proportional to 1,131.83, 1,698.82 and 584.40

Step by Step Solution

1. Step 1: Write the proportion equation
   1,131.83 : 1,698.82 = 584.40 : x
2. Step 2: Convert to fraction form
   1,131.83/1,698.82 = 584.40/x
3. Step 3: Cross multiply
   1,131.83x = 1,698.82 × 584.40
4. Step 4: Simplify right side
   1,131.83x = 992,788.95
5. Step 5: Solve for x
   x = 992,788.95/1,131.83
6. Step 6: Final answer
   x = 877.16