Finding the Fourth Proportional to 1,146.82, 1,581.90 and 704.29

Step by Step Solution

1. Step 1: Write the proportion equation
   1,146.82 : 1,581.90 = 704.29 : x
2. Step 2: Convert to fraction form
   1,146.82/1,581.90 = 704.29/x
3. Step 3: Cross multiply
   1,146.82x = 1,581.90 × 704.29
4. Step 4: Simplify right side
   1,146.82x = 1,114,116.35
5. Step 5: Solve for x
   x = 1,114,116.35/1,146.82
6. Step 6: Final answer
   x = 971.48