Finding the Fourth Proportional to 13,826.02, 19,079.61 and 7,538.26

Step by Step Solution

1. Step 1: Write the proportion equation
   13,826.02 : 19,079.61 = 7,538.26 : x
2. Step 2: Convert to fraction form
   13,826.02/19,079.61 = 7,538.26/x
3. Step 3: Cross multiply
   13,826.02x = 19,079.61 × 7,538.26
4. Step 4: Simplify right side
   13,826.02x = 143,827,060.88
5. Step 5: Solve for x
   x = 143,827,060.88/13,826.02
6. Step 6: Final answer
   x = 10,402.64