Finding the Fourth Proportional to 1,175.82, 1,622.54 and 727.62

Step by Step Solution

1. Step 1: Write the proportion equation
   1,175.82 : 1,622.54 = 727.62 : x
2. Step 2: Convert to fraction form
   1,175.82/1,622.54 = 727.62/x
3. Step 3: Cross multiply
   1,175.82x = 1,622.54 × 727.62
4. Step 4: Simplify right side
   1,175.82x = 1,180,592.55
5. Step 5: Solve for x
   x = 1,180,592.55/1,175.82
6. Step 6: Final answer
   x = 1,004.06