Finding the Fourth Proportional to 1,061.63, 1,465.02 and 589.52

Step by Step Solution

1. Step 1: Write the proportion equation
   1,061.63 : 1,465.02 = 589.52 : x
2. Step 2: Convert to fraction form
   1,061.63/1,465.02 = 589.52/x
3. Step 3: Cross multiply
   1,061.63x = 1,465.02 × 589.52
4. Step 4: Simplify right side
   1,061.63x = 863,658.59
5. Step 5: Solve for x
   x = 863,658.59/1,061.63
6. Step 6: Final answer
   x = 813.53