Finding the Fourth Proportional to 13,825.69, 19,079.55 and 7,538.06

Step by Step Solution

1. Step 1: Write the proportion equation
   13,825.69 : 19,079.55 = 7,538.06 : x
2. Step 2: Convert to fraction form
   13,825.69/19,079.55 = 7,538.06/x
3. Step 3: Cross multiply
   13,825.69x = 19,079.55 × 7,538.06
4. Step 4: Simplify right side
   13,825.69x = 143,822,840.37
5. Step 5: Solve for x
   x = 143,822,840.37/13,825.69
6. Step 6: Final answer
   x = 10,402.58