Finding the Fourth Proportional to 1,064.73, 1,468.69 and 785.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,064.73 : 1,468.69 = 785.69 : x
2. Step 2: Convert to fraction form
   1,064.73/1,468.69 = 785.69/x
3. Step 3: Cross multiply
   1,064.73x = 1,468.69 × 785.69
4. Step 4: Simplify right side
   1,064.73x = 1,153,935.05
5. Step 5: Solve for x
   x = 1,153,935.05/1,064.73
6. Step 6: Final answer
   x = 1,083.78