Finding the Fourth Proportional to 1,448.82, 1,999.35 and 785.65

Step by Step Solution

1. Step 1: Write the proportion equation
   1,448.82 : 1,999.35 = 785.65 : x
2. Step 2: Convert to fraction form
   1,448.82/1,999.35 = 785.65/x
3. Step 3: Cross multiply
   1,448.82x = 1,999.35 × 785.65
4. Step 4: Simplify right side
   1,448.82x = 1,570,789.33
5. Step 5: Solve for x
   x = 1,570,789.33/1,448.82
6. Step 6: Final answer
   x = 1,084.19