Finding the Fourth Proportional to 2,892.24, 4,340.25 and 1,161

Step by Step Solution

1. Step 1: Write the proportion equation
   2,892.24 : 4,340.25 = 1,161 : x
2. Step 2: Convert to fraction form
   2,892.24/4,340.25 = 1,161/x
3. Step 3: Cross multiply
   2,892.24x = 4,340.25 × 1,161
4. Step 4: Simplify right side
   2,892.24x = 5,039,030.25
5. Step 5: Solve for x
   x = 5,039,030.25/2,892.24
6. Step 6: Final answer
   x = 1,742.26