Finding the Fourth Proportional to 10,226.08, 14,112.72 and 7,538.40

Step by Step Solution

1. Step 1: Write the proportion equation
   10,226.08 : 14,112.72 = 7,538.40 : x
2. Step 2: Convert to fraction form
   10,226.08/14,112.72 = 7,538.40/x
3. Step 3: Cross multiply
   10,226.08x = 14,112.72 × 7,538.40
4. Step 4: Simplify right side
   10,226.08x = 106,387,328.45
5. Step 5: Solve for x
   x = 106,387,328.45/10,226.08
6. Step 6: Final answer
   x = 10,403.53