Finding the Fourth Proportional to 1,826.57, 2,738.41 and 785.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,826.57 : 2,738.41 = 785.72 : x
2. Step 2: Convert to fraction form
   1,826.57/2,738.41 = 785.72/x
3. Step 3: Cross multiply
   1,826.57x = 2,738.41 × 785.72
4. Step 4: Simplify right side
   1,826.57x = 2,151,609.81
5. Step 5: Solve for x
   x = 2,151,609.81/1,826.57
6. Step 6: Final answer
   x = 1,177.95