Finding the Fourth Proportional to 13,826.17, 19,080.10 and 7,538.55

Step by Step Solution

1. Step 1: Write the proportion equation
   13,826.17 : 19,080.10 = 7,538.55 : x
2. Step 2: Convert to fraction form
   13,826.17/19,080.10 = 7,538.55/x
3. Step 3: Cross multiply
   13,826.17x = 19,080.10 × 7,538.55
4. Step 4: Simplify right side
   13,826.17x = 143,836,287.86
5. Step 5: Solve for x
   x = 143,836,287.86/13,826.17
6. Step 6: Final answer
   x = 10,403.19