Finding the Fourth Proportional to 1,561.82, 2,155.27 and 853.65

Step by Step Solution

1. Step 1: Write the proportion equation
   1,561.82 : 2,155.27 = 853.65 : x
2. Step 2: Convert to fraction form
   1,561.82/2,155.27 = 853.65/x
3. Step 3: Cross multiply
   1,561.82x = 2,155.27 × 853.65
4. Step 4: Simplify right side
   1,561.82x = 1,839,846.24
5. Step 5: Solve for x
   x = 1,839,846.24/1,561.82
6. Step 6: Final answer
   x = 1,178.01