Finding the Fourth Proportional to 2,069.59, 2,855.80 and 1,185.57

Step by Step Solution

1. Step 1: Write the proportion equation
   2,069.59 : 2,855.80 = 1,185.57 : x
2. Step 2: Convert to fraction form
   2,069.59/2,855.80 = 1,185.57/x
3. Step 3: Cross multiply
   2,069.59x = 2,855.80 × 1,185.57
4. Step 4: Simplify right side
   2,069.59x = 3,385,750.81
5. Step 5: Solve for x
   x = 3,385,750.81/2,069.59
6. Step 6: Final answer
   x = 1,635.95