Finding the Fourth Proportional to 1,072.50, 1,609.56 and 585.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,072.50 : 1,609.56 = 585.06 : x
2. Step 2: Convert to fraction form
   1,072.50/1,609.56 = 585.06/x
3. Step 3: Cross multiply
   1,072.50x = 1,609.56 × 585.06
4. Step 4: Simplify right side
   1,072.50x = 941,689.17
5. Step 5: Solve for x
   x = 941,689.17/1,072.50
6. Step 6: Final answer
   x = 878.03