Finding the Fourth Proportional to 1,314.82, 1,972.58 and 584.22

Step by Step Solution

1. Step 1: Write the proportion equation
   1,314.82 : 1,972.58 = 584.22 : x
2. Step 2: Convert to fraction form
   1,314.82/1,972.58 = 584.22/x
3. Step 3: Cross multiply
   1,314.82x = 1,972.58 × 584.22
4. Step 4: Simplify right side
   1,314.82x = 1,152,420.69
5. Step 5: Solve for x
   x = 1,152,420.69/1,314.82
6. Step 6: Final answer
   x = 876.49