Finding the Fourth Proportional to 10,110.24, 13,952.10 and 5,633.94

Step by Step Solution

1. Step 1: Write the proportion equation
   10,110.24 : 13,952.10 = 5,633.94 : x
2. Step 2: Convert to fraction form
   10,110.24/13,952.10 = 5,633.94/x
3. Step 3: Cross multiply
   10,110.24x = 13,952.10 × 5,633.94
4. Step 4: Simplify right side
   10,110.24x = 78,605,294.27
5. Step 5: Solve for x
   x = 78,605,294.27/10,110.24
6. Step 6: Final answer
   x = 7,774.82