Finding the Fourth Proportional to 1,147.82, 1,720.17 and 838.22

Step by Step Solution

1. Step 1: Write the proportion equation
   1,147.82 : 1,720.17 = 838.22 : x
2. Step 2: Convert to fraction form
   1,147.82/1,720.17 = 838.22/x
3. Step 3: Cross multiply
   1,147.82x = 1,720.17 × 838.22
4. Step 4: Simplify right side
   1,147.82x = 1,441,872.30
5. Step 5: Solve for x
   x = 1,441,872.30/1,147.82
6. Step 6: Final answer
   x = 1,256.19