Finding the Fourth Proportional to 2,109.52, 2,911.98 and 1,411.84

Step by Step Solution

1. Step 1: Write the proportion equation
   2,109.52 : 2,911.98 = 1,411.84 : x
2. Step 2: Convert to fraction form
   2,109.52/2,911.98 = 1,411.84/x
3. Step 3: Cross multiply
   2,109.52x = 2,911.98 × 1,411.84
4. Step 4: Simplify right side
   2,109.52x = 4,111,249.84
5. Step 5: Solve for x
   x = 4,111,249.84/2,109.52
6. Step 6: Final answer
   x = 1,948.90