Finding the Fourth Proportional to 1,158.82, 1,735.52 and 1,006

Step by Step Solution

1. Step 1: Write the proportion equation
   1,158.82 : 1,735.52 = 1,006 : x
2. Step 2: Convert to fraction form
   1,158.82/1,735.52 = 1,006/x
3. Step 3: Cross multiply
   1,158.82x = 1,735.52 × 1,006
4. Step 4: Simplify right side
   1,158.82x = 1,745,933.12
5. Step 5: Solve for x
   x = 1,745,933.12/1,158.82
6. Step 6: Final answer
   x = 1,506.65