Finding the Fourth Proportional to 10,225, 14,109.52 and 5,977.05

Step by Step Solution

1. Step 1: Write the proportion equation
   10,225 : 14,109.52 = 5,977.05 : x
2. Step 2: Convert to fraction form
   10,225/14,109.52 = 5,977.05/x
3. Step 3: Cross multiply
   10,225x = 14,109.52 × 5,977.05
4. Step 4: Simplify right side
   10,225x = 84,333,306.52
5. Step 5: Solve for x
   x = 84,333,306.52/10,225
6. Step 6: Final answer
   x = 8,247.76