Finding the Fourth Proportional to 1,150.89, 1,725.12 and 827.70

Step by Step Solution

1. Step 1: Write the proportion equation
   1,150.89 : 1,725.12 = 827.70 : x
2. Step 2: Convert to fraction form
   1,150.89/1,725.12 = 827.70/x
3. Step 3: Cross multiply
   1,150.89x = 1,725.12 × 827.70
4. Step 4: Simplify right side
   1,150.89x = 1,427,881.82
5. Step 5: Solve for x
   x = 1,427,881.82/1,150.89
6. Step 6: Final answer
   x = 1,240.68