Finding the Fourth Proportional to 10,105.84, 13,946.49 and 5,629.58

Step by Step Solution

1. Step 1: Write the proportion equation
   10,105.84 : 13,946.49 = 5,629.58 : x
2. Step 2: Convert to fraction form
   10,105.84/13,946.49 = 5,629.58/x
3. Step 3: Cross multiply
   10,105.84x = 13,946.49 × 5,629.58
4. Step 4: Simplify right side
   10,105.84x = 78,512,926.36
5. Step 5: Solve for x
   x = 78,512,926.36/10,105.84
6. Step 6: Final answer
   x = 7,769.07