Finding the Fourth Proportional to 784.82, 1,082.72 and 722.64

Step by Step Solution

1. Step 1: Write the proportion equation
   784.82 : 1,082.72 = 722.64 : x
2. Step 2: Convert to fraction form
   784.82/1,082.72 = 722.64/x
3. Step 3: Cross multiply
   784.82x = 1,082.72 × 722.64
4. Step 4: Simplify right side
   784.82x = 782,413.17
5. Step 5: Solve for x
   x = 782,413.17/784.82
6. Step 6: Final answer
   x = 996.94