Finding the Fourth Proportional to 10,026.88, 13,834.56 and 7,538.56

Step by Step Solution

1. Step 1: Write the proportion equation
   10,026.88 : 13,834.56 = 7,538.56 : x
2. Step 2: Convert to fraction form
   10,026.88/13,834.56 = 7,538.56/x
3. Step 3: Cross multiply
   10,026.88x = 13,834.56 × 7,538.56
4. Step 4: Simplify right side
   10,026.88x = 104,292,660.63
5. Step 5: Solve for x
   x = 104,292,660.63/10,026.88
6. Step 6: Final answer
   x = 10,401.31