Finding the Fourth Proportional to 1,578.69, 2,179.31 and 1,185.84

Step by Step Solution

1. Step 1: Write the proportion equation
   1,578.69 : 2,179.31 = 1,185.84 : x
2. Step 2: Convert to fraction form
   1,578.69/2,179.31 = 1,185.84/x
3. Step 3: Cross multiply
   1,578.69x = 2,179.31 × 1,185.84
4. Step 4: Simplify right side
   1,578.69x = 2,584,307.04
5. Step 5: Solve for x
   x = 2,584,307.04/1,578.69
6. Step 6: Final answer
   x = 1,636.99