Finding the Fourth Proportional to 1,064.34, 1,594.76 and 414.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,064.34 : 1,594.76 = 414.72 : x
2. Step 2: Convert to fraction form
   1,064.34/1,594.76 = 414.72/x
3. Step 3: Cross multiply
   1,064.34x = 1,594.76 × 414.72
4. Step 4: Simplify right side
   1,064.34x = 661,376.79
5. Step 5: Solve for x
   x = 661,376.79/1,064.34
6. Step 6: Final answer
   x = 621.40