Finding the Fourth Proportional to 1,509.82, 2,083.53 and 880.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,509.82 : 2,083.53 = 880.72 : x
2. Step 2: Convert to fraction form
   1,509.82/2,083.53 = 880.72/x
3. Step 3: Cross multiply
   1,509.82x = 2,083.53 × 880.72
4. Step 4: Simplify right side
   1,509.82x = 1,835,006.54
5. Step 5: Solve for x
   x = 1,835,006.54/1,509.82
6. Step 6: Final answer
   x = 1,215.38