Finding the Fourth Proportional to 2,006.55, 2,805.52 and 2,006.55

Step by Step Solution

1. Step 1: Write the proportion equation
   2,006.55 : 2,805.52 = 2,006.55 : x
2. Step 2: Convert to fraction form
   2,006.55/2,805.52 = 2,006.55/x
3. Step 3: Cross multiply
   2,006.55x = 2,805.52 × 2,006.55
4. Step 4: Simplify right side
   2,006.55x = 5,629,416.16
5. Step 5: Solve for x
   x = 5,629,416.16/2,006.55
6. Step 6: Final answer
   x = 2,805.52