Finding the Fourth Proportional to 826.50, 1,140.89 and 752.69

Step by Step Solution

1. Step 1: Write the proportion equation
   826.50 : 1,140.89 = 752.69 : x
2. Step 2: Convert to fraction form
   826.50/1,140.89 = 752.69/x
3. Step 3: Cross multiply
   826.50x = 1,140.89 × 752.69
4. Step 4: Simplify right side
   826.50x = 858,735.58
5. Step 5: Solve for x
   x = 858,735.58/826.50
6. Step 6: Final answer
   x = 1,039.00