Finding the Fourth Proportional to 1,480.87, 2,216.71 and 785.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,480.87 : 2,216.71 = 785.82 : x
2. Step 2: Convert to fraction form
   1,480.87/2,216.71 = 785.82/x
3. Step 3: Cross multiply
   1,480.87x = 2,216.71 × 785.82
4. Step 4: Simplify right side
   1,480.87x = 1,741,935.05
5. Step 5: Solve for x
   x = 1,741,935.05/1,480.87
6. Step 6: Final answer
   x = 1,176.29