Finding the Fourth Proportional to 13,825.67, 19,079.41 and 7,538.05

Step by Step Solution

1. Step 1: Write the proportion equation
   13,825.67 : 19,079.41 = 7,538.05 : x
2. Step 2: Convert to fraction form
   13,825.67/19,079.41 = 7,538.05/x
3. Step 3: Cross multiply
   13,825.67x = 19,079.41 × 7,538.05
4. Step 4: Simplify right side
   13,825.67x = 143,821,546.55
5. Step 5: Solve for x
   x = 143,821,546.55/13,825.67
6. Step 6: Final answer
   x = 10,402.50