Finding the Fourth Proportional to 1,184.27, 1,634.10 and 712.05

Step by Step Solution

1. Step 1: Write the proportion equation
   1,184.27 : 1,634.10 = 712.05 : x
2. Step 2: Convert to fraction form
   1,184.27/1,634.10 = 712.05/x
3. Step 3: Cross multiply
   1,184.27x = 1,634.10 × 712.05
4. Step 4: Simplify right side
   1,184.27x = 1,163,571.90
5. Step 5: Solve for x
   x = 1,163,571.90/1,184.27
6. Step 6: Final answer
   x = 982.52