Finding the Fourth Proportional to 1,074.58, 1,609.71 and 560.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,074.58 : 1,609.71 = 560.50 : x
2. Step 2: Convert to fraction form
   1,074.58/1,609.71 = 560.50/x
3. Step 3: Cross multiply
   1,074.58x = 1,609.71 × 560.50
4. Step 4: Simplify right side
   1,074.58x = 902,242.46
5. Step 5: Solve for x
   x = 902,242.46/1,074.58
6. Step 6: Final answer
   x = 839.62