Finding the Fourth Proportional to 10,225.78, 14,112.93 and 7,580.72

Step by Step Solution

1. Step 1: Write the proportion equation
   10,225.78 : 14,112.93 = 7,580.72 : x
2. Step 2: Convert to fraction form
   10,225.78/14,112.93 = 7,580.72/x
3. Step 3: Cross multiply
   10,225.78x = 14,112.93 × 7,580.72
4. Step 4: Simplify right side
   10,225.78x = 106,986,234.42
5. Step 5: Solve for x
   x = 106,986,234.42/10,225.78
6. Step 6: Final answer
   x = 10,462.41