Finding the Fourth Proportional to 1,776.24, 2,662.56 and 1,005.12

Step by Step Solution

1. Step 1: Write the proportion equation
   1,776.24 : 2,662.56 = 1,005.12 : x
2. Step 2: Convert to fraction form
   1,776.24/2,662.56 = 1,005.12/x
3. Step 3: Cross multiply
   1,776.24x = 2,662.56 × 1,005.12
4. Step 4: Simplify right side
   1,776.24x = 2,676,192.31
5. Step 5: Solve for x
   x = 2,676,192.31/1,776.24
6. Step 6: Final answer
   x = 1,506.66