Finding the Fourth Proportional to 13,826.10, 19,080.02 and 7,538.48

Step by Step Solution

1. Step 1: Write the proportion equation
   13,826.10 : 19,080.02 = 7,538.48 : x
2. Step 2: Convert to fraction form
   13,826.10/19,080.02 = 7,538.48/x
3. Step 3: Cross multiply
   13,826.10x = 19,080.02 × 7,538.48
4. Step 4: Simplify right side
   13,826.10x = 143,834,216.08
5. Step 5: Solve for x
   x = 143,834,216.08/13,826.10
6. Step 6: Final answer
   x = 10,403.09