Finding the Fourth Proportional to 1,194.77, 1,648.82 and 722.57

Step by Step Solution

1. Step 1: Write the proportion equation
   1,194.77 : 1,648.82 = 722.57 : x
2. Step 2: Convert to fraction form
   1,194.77/1,648.82 = 722.57/x
3. Step 3: Cross multiply
   1,194.77x = 1,648.82 × 722.57
4. Step 4: Simplify right side
   1,194.77x = 1,191,384.25
5. Step 5: Solve for x
   x = 1,191,384.25/1,194.77
6. Step 6: Final answer
   x = 997.17