Finding the Fourth Proportional to 2,421.80, 3,633.52 and 1,189.24

Step by Step Solution

1. Step 1: Write the proportion equation
   2,421.80 : 3,633.52 = 1,189.24 : x
2. Step 2: Convert to fraction form
   2,421.80/3,633.52 = 1,189.24/x
3. Step 3: Cross multiply
   2,421.80x = 3,633.52 × 1,189.24
4. Step 4: Simplify right side
   2,421.80x = 4,321,127.32
5. Step 5: Solve for x
   x = 4,321,127.32/2,421.80
6. Step 6: Final answer
   x = 1,784.26