Finding the Fourth Proportional to 2,045.45, 3,066.78 and 1,005.68

Step by Step Solution

1. Step 1: Write the proportion equation
   2,045.45 : 3,066.78 = 1,005.68 : x
2. Step 2: Convert to fraction form
   2,045.45/3,066.78 = 1,005.68/x
3. Step 3: Cross multiply
   2,045.45x = 3,066.78 × 1,005.68
4. Step 4: Simplify right side
   2,045.45x = 3,084,199.31
5. Step 5: Solve for x
   x = 3,084,199.31/2,045.45
6. Step 6: Final answer
   x = 1,507.83