Finding the Fourth Proportional to 1,069.96, 1,605.86 and 762.57

Step by Step Solution

1. Step 1: Write the proportion equation
   1,069.96 : 1,605.86 = 762.57 : x
2. Step 2: Convert to fraction form
   1,069.96/1,605.86 = 762.57/x
3. Step 3: Cross multiply
   1,069.96x = 1,605.86 × 762.57
4. Step 4: Simplify right side
   1,069.96x = 1,224,568.82
5. Step 5: Solve for x
   x = 1,224,568.82/1,069.96
6. Step 6: Final answer
   x = 1,144.50