Finding the Fourth Proportional to 9,665.84, 13,345.28 and 7,423.71

Step by Step Solution

1. Step 1: Write the proportion equation
   9,665.84 : 13,345.28 = 7,423.71 : x
2. Step 2: Convert to fraction form
   9,665.84/13,345.28 = 7,423.71/x
3. Step 3: Cross multiply
   9,665.84x = 13,345.28 × 7,423.71
4. Step 4: Simplify right side
   9,665.84x = 99,071,421.86
5. Step 5: Solve for x
   x = 99,071,421.86/9,665.84
6. Step 6: Final answer
   x = 10,249.65