Finding the Fourth Proportional to 13,826.31, 19,080.41 and 7,538.69

Step by Step Solution

1. Step 1: Write the proportion equation
   13,826.31 : 19,080.41 = 7,538.69 : x
2. Step 2: Convert to fraction form
   13,826.31/19,080.41 = 7,538.69/x
3. Step 3: Cross multiply
   13,826.31x = 19,080.41 × 7,538.69
4. Step 4: Simplify right side
   13,826.31x = 143,841,162.97
5. Step 5: Solve for x
   x = 143,841,162.97/13,826.31
6. Step 6: Final answer
   x = 10,403.44