Finding the Fourth Proportional to 5,189.50, 7,787.49 and 2,111.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,189.50 : 7,787.49 = 2,111.50 : x
2. Step 2: Convert to fraction form
   5,189.50/7,787.49 = 2,111.50/x
3. Step 3: Cross multiply
   5,189.50x = 7,787.49 × 2,111.50
4. Step 4: Simplify right side
   5,189.50x = 16,443,285.14
5. Step 5: Solve for x
   x = 16,443,285.14/5,189.50
6. Step 6: Final answer
   x = 3,168.57