Finding the Fourth Proportional to 2,069.31, 2,855.70 and 1,185.24

Step by Step Solution

1. Step 1: Write the proportion equation
   2,069.31 : 2,855.70 = 1,185.24 : x
2. Step 2: Convert to fraction form
   2,069.31/2,855.70 = 1,185.24/x
3. Step 3: Cross multiply
   2,069.31x = 2,855.70 × 1,185.24
4. Step 4: Simplify right side
   2,069.31x = 3,384,689.87
5. Step 5: Solve for x
   x = 3,384,689.87/2,069.31
6. Step 6: Final answer
   x = 1,635.66