Finding the Fourth Proportional to 1,057.34, 1,585.55 and 407.62

Step by Step Solution

1. Step 1: Write the proportion equation
   1,057.34 : 1,585.55 = 407.62 : x
2. Step 2: Convert to fraction form
   1,057.34/1,585.55 = 407.62/x
3. Step 3: Cross multiply
   1,057.34x = 1,585.55 × 407.62
4. Step 4: Simplify right side
   1,057.34x = 646,301.89
5. Step 5: Solve for x
   x = 646,301.89/1,057.34
6. Step 6: Final answer
   x = 611.25