Finding the Fourth Proportional to 13,834.25, 19,089.98 and 7,864.75

Step by Step Solution

1. Step 1: Write the proportion equation
   13,834.25 : 19,089.98 = 7,864.75 : x
2. Step 2: Convert to fraction form
   13,834.25/19,089.98 = 7,864.75/x
3. Step 3: Cross multiply
   13,834.25x = 19,089.98 × 7,864.75
4. Step 4: Simplify right side
   13,834.25x = 150,137,880.88
5. Step 5: Solve for x
   x = 150,137,880.88/13,834.25
6. Step 6: Final answer
   x = 10,852.63