Finding the Fourth Proportional to 2,191.86, 3,288.20 and 1,411.49

Step by Step Solution

1. Step 1: Write the proportion equation
   2,191.86 : 3,288.20 = 1,411.49 : x
2. Step 2: Convert to fraction form
   2,191.86/3,288.20 = 1,411.49/x
3. Step 3: Cross multiply
   2,191.86x = 3,288.20 × 1,411.49
4. Step 4: Simplify right side
   2,191.86x = 4,641,262.58
5. Step 5: Solve for x
   x = 4,641,262.58/2,191.86
6. Step 6: Final answer
   x = 2,117.50