Finding the Fourth Proportional to 1,315.31, 1,971.72 and 584.48

Step by Step Solution

1. Step 1: Write the proportion equation
   1,315.31 : 1,971.72 = 584.48 : x
2. Step 2: Convert to fraction form
   1,315.31/1,971.72 = 584.48/x
3. Step 3: Cross multiply
   1,315.31x = 1,971.72 × 584.48
4. Step 4: Simplify right side
   1,315.31x = 1,152,421.05
5. Step 5: Solve for x
   x = 1,152,421.05/1,315.31
6. Step 6: Final answer
   x = 876.16