Finding the Fourth Proportional to 1,065.57, 1,597.40 and 416.15

Step by Step Solution

1. Step 1: Write the proportion equation
   1,065.57 : 1,597.40 = 416.15 : x
2. Step 2: Convert to fraction form
   1,065.57/1,597.40 = 416.15/x
3. Step 3: Cross multiply
   1,065.57x = 1,597.40 × 416.15
4. Step 4: Simplify right side
   1,065.57x = 664,758.01
5. Step 5: Solve for x
   x = 664,758.01/1,065.57
6. Step 6: Final answer
   x = 623.85