Finding the Fourth Proportional to 13,913.76, 19,200.78 and 7,626.14

Step by Step Solution

1. Step 1: Write the proportion equation
   13,913.76 : 19,200.78 = 7,626.14 : x
2. Step 2: Convert to fraction form
   13,913.76/19,200.78 = 7,626.14/x
3. Step 3: Cross multiply
   13,913.76x = 19,200.78 × 7,626.14
4. Step 4: Simplify right side
   13,913.76x = 146,427,836.39
5. Step 5: Solve for x
   x = 146,427,836.39/13,913.76
6. Step 6: Final answer
   x = 10,523.96