Finding the Fourth Proportional to 1,184.20, 1,767.53 and 1,111.24

Step by Step Solution

1. Step 1: Write the proportion equation
   1,184.20 : 1,767.53 = 1,111.24 : x
2. Step 2: Convert to fraction form
   1,184.20/1,767.53 = 1,111.24/x
3. Step 3: Cross multiply
   1,184.20x = 1,767.53 × 1,111.24
4. Step 4: Simplify right side
   1,184.20x = 1,964,150.04
5. Step 5: Solve for x
   x = 1,964,150.04/1,184.20
6. Step 6: Final answer
   x = 1,658.63