Finding the Fourth Proportional to 2,069.78, 2,856.51 and 1,185.74

Step by Step Solution

1. Step 1: Write the proportion equation
   2,069.78 : 2,856.51 = 1,185.74 : x
2. Step 2: Convert to fraction form
   2,069.78/2,856.51 = 1,185.74/x
3. Step 3: Cross multiply
   2,069.78x = 2,856.51 × 1,185.74
4. Step 4: Simplify right side
   2,069.78x = 3,387,063.88
5. Step 5: Solve for x
   x = 3,387,063.88/2,069.78
6. Step 6: Final answer
   x = 1,636.44