Finding the Fourth Proportional to 13,838.55, 19,097.17 and 7,788.30

Step by Step Solution

1. Step 1: Write the proportion equation
   13,838.55 : 19,097.17 = 7,788.30 : x
2. Step 2: Convert to fraction form
   13,838.55/19,097.17 = 7,788.30/x
3. Step 3: Cross multiply
   13,838.55x = 19,097.17 × 7,788.30
4. Step 4: Simplify right side
   13,838.55x = 148,734,505.45
5. Step 5: Solve for x
   x = 148,734,505.45/13,838.55
6. Step 6: Final answer
   x = 10,747.84