Finding the Fourth Proportional to 1,448.71, 1,999.23 and 785.57

Step by Step Solution

1. Step 1: Write the proportion equation
   1,448.71 : 1,999.23 = 785.57 : x
2. Step 2: Convert to fraction form
   1,448.71/1,999.23 = 785.57/x
3. Step 3: Cross multiply
   1,448.71x = 1,999.23 × 785.57
4. Step 4: Simplify right side
   1,448.71x = 1,570,543.46
5. Step 5: Solve for x
   x = 1,570,543.46/1,448.71
6. Step 6: Final answer
   x = 1,084.10