Finding the Fourth Proportional to 1,320.78, 1,982.16 and 590.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,320.78 : 1,982.16 = 590.82 : x
2. Step 2: Convert to fraction form
   1,320.78/1,982.16 = 590.82/x
3. Step 3: Cross multiply
   1,320.78x = 1,982.16 × 590.82
4. Step 4: Simplify right side
   1,320.78x = 1,171,099.77
5. Step 5: Solve for x
   x = 1,171,099.77/1,320.78
6. Step 6: Final answer
   x = 886.67