Finding the Fourth Proportional to 1,064.62, 1,597.72 and 415.34

Step by Step Solution

1. Step 1: Write the proportion equation
   1,064.62 : 1,597.72 = 415.34 : x
2. Step 2: Convert to fraction form
   1,064.62/1,597.72 = 415.34/x
3. Step 3: Cross multiply
   1,064.62x = 1,597.72 × 415.34
4. Step 4: Simplify right side
   1,064.62x = 663,597.02
5. Step 5: Solve for x
   x = 663,597.02/1,064.62
6. Step 6: Final answer
   x = 623.32