Finding the Fourth Proportional to 1,589.10, 2,383.71 and 972.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,589.10 : 2,383.71 = 972.42 : x
2. Step 2: Convert to fraction form
   1,589.10/2,383.71 = 972.42/x
3. Step 3: Cross multiply
   1,589.10x = 2,383.71 × 972.42
4. Step 4: Simplify right side
   1,589.10x = 2,317,967.28
5. Step 5: Solve for x
   x = 2,317,967.28/1,589.10
6. Step 6: Final answer
   x = 1,458.67