Finding the Fourth Proportional to 1,827.24, 2,738.48 and 786.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,827.24 : 2,738.48 = 786.02 : x
2. Step 2: Convert to fraction form
   1,827.24/2,738.48 = 786.02/x
3. Step 3: Cross multiply
   1,827.24x = 2,738.48 × 786.02
4. Step 4: Simplify right side
   1,827.24x = 2,152,500.05
5. Step 5: Solve for x
   x = 2,152,500.05/1,827.24
6. Step 6: Final answer
   x = 1,178.01