Finding the Fourth Proportional to 2,185.76, 3,016.29 and 1,191.05

Step by Step Solution

1. Step 1: Write the proportion equation
   2,185.76 : 3,016.29 = 1,191.05 : x
2. Step 2: Convert to fraction form
   2,185.76/3,016.29 = 1,191.05/x
3. Step 3: Cross multiply
   2,185.76x = 3,016.29 × 1,191.05
4. Step 4: Simplify right side
   2,185.76x = 3,592,537.12
5. Step 5: Solve for x
   x = 3,592,537.12/2,185.76
6. Step 6: Final answer
   x = 1,643.61