Finding the Fourth Proportional to 1,184.89, 1,634.42 and 786.57

Step by Step Solution

1. Step 1: Write the proportion equation
   1,184.89 : 1,634.42 = 786.57 : x
2. Step 2: Convert to fraction form
   1,184.89/1,634.42 = 786.57/x
3. Step 3: Cross multiply
   1,184.89x = 1,634.42 × 786.57
4. Step 4: Simplify right side
   1,184.89x = 1,285,587.71
5. Step 5: Solve for x
   x = 1,285,587.71/1,184.89
6. Step 6: Final answer
   x = 1,084.99