Finding the Fourth Proportional to 10,349.78, 14,282.73 and 5,634.06

Step by Step Solution

1. Step 1: Write the proportion equation
   10,349.78 : 14,282.73 = 5,634.06 : x
2. Step 2: Convert to fraction form
   10,349.78/14,282.73 = 5,634.06/x
3. Step 3: Cross multiply
   10,349.78x = 14,282.73 × 5,634.06
4. Step 4: Simplify right side
   10,349.78x = 80,469,704.22
5. Step 5: Solve for x
   x = 80,469,704.22/10,349.78
6. Step 6: Final answer
   x = 7,775.02