Finding the Fourth Proportional to 2,006.82, 3,005.37 and 1,138.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,006.82 : 3,005.37 = 1,138.50 : x
2. Step 2: Convert to fraction form
   2,006.82/3,005.37 = 1,138.50/x
3. Step 3: Cross multiply
   2,006.82x = 3,005.37 × 1,138.50
4. Step 4: Simplify right side
   2,006.82x = 3,421,613.75
5. Step 5: Solve for x
   x = 3,421,613.75/2,006.82
6. Step 6: Final answer
   x = 1,704.99