Finding the Fourth Proportional to 13,826.24, 19,079.68 and 7,538.56

Step by Step Solution

1. Step 1: Write the proportion equation
   13,826.24 : 19,079.68 = 7,538.56 : x
2. Step 2: Convert to fraction form
   13,826.24/19,079.68 = 7,538.56/x
3. Step 3: Cross multiply
   13,826.24x = 19,079.68 × 7,538.56
4. Step 4: Simplify right side
   13,826.24x = 143,833,312.46
5. Step 5: Solve for x
   x = 143,833,312.46/13,826.24
6. Step 6: Final answer
   x = 10,402.92