Finding the Fourth Proportional to 1,155.72, 1,596.20 and 764.48

Step by Step Solution

1. Step 1: Write the proportion equation
   1,155.72 : 1,596.20 = 764.48 : x
2. Step 2: Convert to fraction form
   1,155.72/1,596.20 = 764.48/x
3. Step 3: Cross multiply
   1,155.72x = 1,596.20 × 764.48
4. Step 4: Simplify right side
   1,155.72x = 1,220,262.98
5. Step 5: Solve for x
   x = 1,220,262.98/1,155.72
6. Step 6: Final answer
   x = 1,055.85