Finding the Fourth Proportional to 13,833.16, 19,091.37 and 7,865.72

Step by Step Solution

1. Step 1: Write the proportion equation
   13,833.16 : 19,091.37 = 7,865.72 : x
2. Step 2: Convert to fraction form
   13,833.16/19,091.37 = 7,865.72/x
3. Step 3: Cross multiply
   13,833.16x = 19,091.37 × 7,865.72
4. Step 4: Simplify right side
   13,833.16x = 150,167,370.84
5. Step 5: Solve for x
   x = 150,167,370.84/13,833.16
6. Step 6: Final answer
   x = 10,855.61