Finding the Fourth Proportional to 1,146.40, 1,582.82 and 847.71

Step by Step Solution

1. Step 1: Write the proportion equation
   1,146.40 : 1,582.82 = 847.71 : x
2. Step 2: Convert to fraction form
   1,146.40/1,582.82 = 847.71/x
3. Step 3: Cross multiply
   1,146.40x = 1,582.82 × 847.71
4. Step 4: Simplify right side
   1,146.40x = 1,341,768.10
5. Step 5: Solve for x
   x = 1,341,768.10/1,146.40
6. Step 6: Final answer
   x = 1,170.42