Finding the Fourth Proportional to 7,725.98, 10,661.49 and 4,189.12

Step by Step Solution

1. Step 1: Write the proportion equation
   7,725.98 : 10,661.49 = 4,189.12 : x
2. Step 2: Convert to fraction form
   7,725.98/10,661.49 = 4,189.12/x
3. Step 3: Cross multiply
   7,725.98x = 10,661.49 × 4,189.12
4. Step 4: Simplify right side
   7,725.98x = 44,662,234.34
5. Step 5: Solve for x
   x = 44,662,234.34/7,725.98
6. Step 6: Final answer
   x = 5,780.78