Finding the Fourth Proportional to 2,021.98, 3,032.84 and 1,189.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,021.98 : 3,032.84 = 1,189.50 : x
2. Step 2: Convert to fraction form
   2,021.98/3,032.84 = 1,189.50/x
3. Step 3: Cross multiply
   2,021.98x = 3,032.84 × 1,189.50
4. Step 4: Simplify right side
   2,021.98x = 3,607,566.15
5. Step 5: Solve for x
   x = 3,607,566.15/2,021.98
6. Step 6: Final answer
   x = 1,784.18