Finding the Fourth Proportional to 1,145.88, 1,580.82 and 762.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,145.88 : 1,580.82 = 762.72 : x
2. Step 2: Convert to fraction form
   1,145.88/1,580.82 = 762.72/x
3. Step 3: Cross multiply
   1,145.88x = 1,580.82 × 762.72
4. Step 4: Simplify right side
   1,145.88x = 1,205,723.03
5. Step 5: Solve for x
   x = 1,205,723.03/1,145.88
6. Step 6: Final answer
   x = 1,052.22