Finding the Fourth Proportional to 1,826.56, 2,737.21 and 786.27

Step by Step Solution

1. Step 1: Write the proportion equation
   1,826.56 : 2,737.21 = 786.27 : x
2. Step 2: Convert to fraction form
   1,826.56/2,737.21 = 786.27/x
3. Step 3: Cross multiply
   1,826.56x = 2,737.21 × 786.27
4. Step 4: Simplify right side
   1,826.56x = 2,152,186.11
5. Step 5: Solve for x
   x = 2,152,186.11/1,826.56
6. Step 6: Final answer
   x = 1,178.27