Finding the Fourth Proportional to 10,429.14, 14,392.17 and 5,649.06

Step by Step Solution

1. Step 1: Write the proportion equation
   10,429.14 : 14,392.17 = 5,649.06 : x
2. Step 2: Convert to fraction form
   10,429.14/14,392.17 = 5,649.06/x
3. Step 3: Cross multiply
   10,429.14x = 14,392.17 × 5,649.06
4. Step 4: Simplify right side
   10,429.14x = 81,302,231.86
5. Step 5: Solve for x
   x = 81,302,231.86/10,429.14
6. Step 6: Final answer
   x = 7,795.68