Finding the Fourth Proportional to 10,429.81, 14,393.15 and 5,649.76

Step by Step Solution

1. Step 1: Write the proportion equation
   10,429.81 : 14,393.15 = 5,649.76 : x
2. Step 2: Convert to fraction form
   10,429.81/14,393.15 = 5,649.76/x
3. Step 3: Cross multiply
   10,429.81x = 14,393.15 × 5,649.76
4. Step 4: Simplify right side
   10,429.81x = 81,317,843.14
5. Step 5: Solve for x
   x = 81,317,843.14/10,429.81
6. Step 6: Final answer
   x = 7,796.68