Finding the Fourth Proportional to 10,434.42, 14,399.46 and 5,654.30

Step by Step Solution

1. Step 1: Write the proportion equation
   10,434.42 : 14,399.46 = 5,654.30 : x
2. Step 2: Convert to fraction form
   10,434.42/14,399.46 = 5,654.30/x
3. Step 3: Cross multiply
   10,434.42x = 14,399.46 × 5,654.30
4. Step 4: Simplify right side
   10,434.42x = 81,418,794.68
5. Step 5: Solve for x
   x = 81,418,794.68/10,434.42
6. Step 6: Final answer
   x = 7,802.91