Finding the Fourth Proportional to 1,059.34, 1,589.42 and 410.53

Step by Step Solution

1. Step 1: Write the proportion equation
   1,059.34 : 1,589.42 = 410.53 : x
2. Step 2: Convert to fraction form
   1,059.34/1,589.42 = 410.53/x
3. Step 3: Cross multiply
   1,059.34x = 1,589.42 × 410.53
4. Step 4: Simplify right side
   1,059.34x = 652,504.59
5. Step 5: Solve for x
   x = 652,504.59/1,059.34
6. Step 6: Final answer
   x = 615.95