Finding the Fourth Proportional to 1,061.90, 1,465.37 and 589.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,061.90 : 1,465.37 = 589.82 : x
2. Step 2: Convert to fraction form
   1,061.90/1,465.37 = 589.82/x
3. Step 3: Cross multiply
   1,061.90x = 1,465.37 × 589.82
4. Step 4: Simplify right side
   1,061.90x = 864,308.83
5. Step 5: Solve for x
   x = 864,308.83/1,061.90
6. Step 6: Final answer
   x = 813.93