Finding the Fourth Proportional to 1,219.05, 1,826.15 and 785.30

Step by Step Solution

1. Step 1: Write the proportion equation
   1,219.05 : 1,826.15 = 785.30 : x
2. Step 2: Convert to fraction form
   1,219.05/1,826.15 = 785.30/x
3. Step 3: Cross multiply
   1,219.05x = 1,826.15 × 785.30
4. Step 4: Simplify right side
   1,219.05x = 1,434,062.54
5. Step 5: Solve for x
   x = 1,434,062.54/1,219.05
6. Step 6: Final answer
   x = 1,176.38