Finding the Fourth Proportional to 2,007.65, 2,814.55 and 2,007.65

Step by Step Solution

1. Step 1: Write the proportion equation
   2,007.65 : 2,814.55 = 2,007.65 : x
2. Step 2: Convert to fraction form
   2,007.65/2,814.55 = 2,007.65/x
3. Step 3: Cross multiply
   2,007.65x = 2,814.55 × 2,007.65
4. Step 4: Simplify right side
   2,007.65x = 5,650,631.31
5. Step 5: Solve for x
   x = 5,650,631.31/2,007.65
6. Step 6: Final answer
   x = 2,814.55