Finding the Fourth Proportional to 13,834.81, 19,091.94 and 7,866.47

Step by Step Solution

1. Step 1: Write the proportion equation
   13,834.81 : 19,091.94 = 7,866.47 : x
2. Step 2: Convert to fraction form
   13,834.81/19,091.94 = 7,866.47/x
3. Step 3: Cross multiply
   13,834.81x = 19,091.94 × 7,866.47
4. Step 4: Simplify right side
   13,834.81x = 150,186,264.16
5. Step 5: Solve for x
   x = 150,186,264.16/13,834.81
6. Step 6: Final answer
   x = 10,855.68