Finding the Fourth Proportional to 1,192.48, 1,645.02 and 772.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,192.48 : 1,645.02 = 772.72 : x
2. Step 2: Convert to fraction form
   1,192.48/1,645.02 = 772.72/x
3. Step 3: Cross multiply
   1,192.48x = 1,645.02 × 772.72
4. Step 4: Simplify right side
   1,192.48x = 1,271,139.85
5. Step 5: Solve for x
   x = 1,271,139.85/1,192.48
6. Step 6: Final answer
   x = 1,065.96