Finding the Fourth Proportional to 10,109.49, 13,949.40 and 5,633.11

Step by Step Solution

1. Step 1: Write the proportion equation
   10,109.49 : 13,949.40 = 5,633.11 : x
2. Step 2: Convert to fraction form
   10,109.49/13,949.40 = 5,633.11/x
3. Step 3: Cross multiply
   10,109.49x = 13,949.40 × 5,633.11
4. Step 4: Simplify right side
   10,109.49x = 78,578,504.63
5. Step 5: Solve for x
   x = 78,578,504.63/10,109.49
6. Step 6: Final answer
   x = 7,772.75