Finding the Fourth Proportional to 1,410.82, 2,114.71 and 589.68

Step by Step Solution

1. Step 1: Write the proportion equation
   1,410.82 : 2,114.71 = 589.68 : x
2. Step 2: Convert to fraction form
   1,410.82/2,114.71 = 589.68/x
3. Step 3: Cross multiply
   1,410.82x = 2,114.71 × 589.68
4. Step 4: Simplify right side
   1,410.82x = 1,247,000.72
5. Step 5: Solve for x
   x = 1,247,000.72/1,410.82
6. Step 6: Final answer
   x = 883.89