Finding the Fourth Proportional to 1,314.06, 1,968.38 and 584.15

Step by Step Solution

1. Step 1: Write the proportion equation
   1,314.06 : 1,968.38 = 584.15 : x
2. Step 2: Convert to fraction form
   1,314.06/1,968.38 = 584.15/x
3. Step 3: Cross multiply
   1,314.06x = 1,968.38 × 584.15
4. Step 4: Simplify right side
   1,314.06x = 1,149,833.57
5. Step 5: Solve for x
   x = 1,149,833.57/1,314.06
6. Step 6: Final answer
   x = 875.02