Finding the Fourth Proportional to 1,064.32, 1,596.72 and 415.24

Step by Step Solution

1. Step 1: Write the proportion equation
   1,064.32 : 1,596.72 = 415.24 : x
2. Step 2: Convert to fraction form
   1,064.32/1,596.72 = 415.24/x
3. Step 3: Cross multiply
   1,064.32x = 1,596.72 × 415.24
4. Step 4: Simplify right side
   1,064.32x = 663,022.01
5. Step 5: Solve for x
   x = 663,022.01/1,064.32
6. Step 6: Final answer
   x = 622.95