Finding the Fourth Proportional to 1,872, 2,806.56 and 1,005.12

Step by Step Solution

1. Step 1: Write the proportion equation
   1,872 : 2,806.56 = 1,005.12 : x
2. Step 2: Convert to fraction form
   1,872/2,806.56 = 1,005.12/x
3. Step 3: Cross multiply
   1,872x = 2,806.56 × 1,005.12
4. Step 4: Simplify right side
   1,872x = 2,820,929.59
5. Step 5: Solve for x
   x = 2,820,929.59/1,872
6. Step 6: Final answer
   x = 1,506.91