Finding the Fourth Proportional to 1,424.32, 1,964.82 and 1,159.05

Step by Step Solution

1. Step 1: Write the proportion equation
   1,424.32 : 1,964.82 = 1,159.05 : x
2. Step 2: Convert to fraction form
   1,424.32/1,964.82 = 1,159.05/x
3. Step 3: Cross multiply
   1,424.32x = 1,964.82 × 1,159.05
4. Step 4: Simplify right side
   1,424.32x = 2,277,324.62
5. Step 5: Solve for x
   x = 2,277,324.62/1,424.32
6. Step 6: Final answer
   x = 1,598.89