Finding the Fourth Proportional to 10,109.29, 13,950.68 and 5,633.23

Step by Step Solution

1. Step 1: Write the proportion equation
   10,109.29 : 13,950.68 = 5,633.23 : x
2. Step 2: Convert to fraction form
   10,109.29/13,950.68 = 5,633.23/x
3. Step 3: Cross multiply
   10,109.29x = 13,950.68 × 5,633.23
4. Step 4: Simplify right side
   10,109.29x = 78,587,438.06
5. Step 5: Solve for x
   x = 78,587,438.06/10,109.29
6. Step 6: Final answer
   x = 7,773.78