Finding the Fourth Proportional to 1,320.02, 1,978.84 and 589.33

Step by Step Solution

1. Step 1: Write the proportion equation
   1,320.02 : 1,978.84 = 589.33 : x
2. Step 2: Convert to fraction form
   1,320.02/1,978.84 = 589.33/x
3. Step 3: Cross multiply
   1,320.02x = 1,978.84 × 589.33
4. Step 4: Simplify right side
   1,320.02x = 1,166,189.78
5. Step 5: Solve for x
   x = 1,166,189.78/1,320.02
6. Step 6: Final answer
   x = 883.46