Finding the Fourth Proportional to 13,839.05, 19,097.86 and 7,788.80

Step by Step Solution

1. Step 1: Write the proportion equation
   13,839.05 : 19,097.86 = 7,788.80 : x
2. Step 2: Convert to fraction form
   13,839.05/19,097.86 = 7,788.80/x
3. Step 3: Cross multiply
   13,839.05x = 19,097.86 × 7,788.80
4. Step 4: Simplify right side
   13,839.05x = 148,749,373.02
5. Step 5: Solve for x
   x = 148,749,373.02/13,839.05
6. Step 6: Final answer
   x = 10,748.53