Finding the Fourth Proportional to 1,092.72, 1,506.73 and 856.24

Step by Step Solution

1. Step 1: Write the proportion equation
   1,092.72 : 1,506.73 = 856.24 : x
2. Step 2: Convert to fraction form
   1,092.72/1,506.73 = 856.24/x
3. Step 3: Cross multiply
   1,092.72x = 1,506.73 × 856.24
4. Step 4: Simplify right side
   1,092.72x = 1,290,122.50
5. Step 5: Solve for x
   x = 1,290,122.50/1,092.72
6. Step 6: Final answer
   x = 1,180.65