Finding the Fourth Proportional to 13,826.10, 19,080.51 and 7,857.57

Step by Step Solution

1. Step 1: Write the proportion equation
   13,826.10 : 19,080.51 = 7,857.57 : x
2. Step 2: Convert to fraction form
   13,826.10/19,080.51 = 7,857.57/x
3. Step 3: Cross multiply
   13,826.10x = 19,080.51 × 7,857.57
4. Step 4: Simplify right side
   13,826.10x = 149,926,442.96
5. Step 5: Solve for x
   x = 149,926,442.96/13,826.10
6. Step 6: Final answer
   x = 10,843.73