Finding the Fourth Proportional to 1,032.02, 1,423.86 and 589.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,032.02 : 1,423.86 = 589.86 : x
2. Step 2: Convert to fraction form
   1,032.02/1,423.86 = 589.86/x
3. Step 3: Cross multiply
   1,032.02x = 1,423.86 × 589.86
4. Step 4: Simplify right side
   1,032.02x = 839,878.06
5. Step 5: Solve for x
   x = 839,878.06/1,032.02
6. Step 6: Final answer
   x = 813.82