Finding the Fourth Proportional to 1,191.56, 1,796.10 and 1,142.16

Step by Step Solution

1. Step 1: Write the proportion equation
   1,191.56 : 1,796.10 = 1,142.16 : x
2. Step 2: Convert to fraction form
   1,191.56/1,796.10 = 1,142.16/x
3. Step 3: Cross multiply
   1,191.56x = 1,796.10 × 1,142.16
4. Step 4: Simplify right side
   1,191.56x = 2,051,433.58
5. Step 5: Solve for x
   x = 2,051,433.58/1,191.56
6. Step 6: Final answer
   x = 1,721.64