Finding the Fourth Proportional to 1,311.84, 1,968.24 and 581.52

Step by Step Solution

1. Step 1: Write the proportion equation
   1,311.84 : 1,968.24 = 581.52 : x
2. Step 2: Convert to fraction form
   1,311.84/1,968.24 = 581.52/x
3. Step 3: Cross multiply
   1,311.84x = 1,968.24 × 581.52
4. Step 4: Simplify right side
   1,311.84x = 1,144,570.92
5. Step 5: Solve for x
   x = 1,144,570.92/1,311.84
6. Step 6: Final answer
   x = 872.49