Finding the Fourth Proportional to 1,185.23, 1,635.69 and 786.19

Step by Step Solution

1. Step 1: Write the proportion equation
   1,185.23 : 1,635.69 = 786.19 : x
2. Step 2: Convert to fraction form
   1,185.23/1,635.69 = 786.19/x
3. Step 3: Cross multiply
   1,185.23x = 1,635.69 × 786.19
4. Step 4: Simplify right side
   1,185.23x = 1,285,963.12
5. Step 5: Solve for x
   x = 1,285,963.12/1,185.23
6. Step 6: Final answer
   x = 1,084.99