Finding the Fourth Proportional to 1,150.08, 1,586.16 and 854.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,150.08 : 1,586.16 = 854.56 : x
2. Step 2: Convert to fraction form
   1,150.08/1,586.16 = 854.56/x
3. Step 3: Cross multiply
   1,150.08x = 1,586.16 × 854.56
4. Step 4: Simplify right side
   1,150.08x = 1,355,468.89
5. Step 5: Solve for x
   x = 1,355,468.89/1,150.08
6. Step 6: Final answer
   x = 1,178.59