Finding the Fourth Proportional to 9,100.14, 13,647.67 and 2,524.76

Step by Step Solution

1. Step 1: Write the proportion equation
   9,100.14 : 13,647.67 = 2,524.76 : x
2. Step 2: Convert to fraction form
   9,100.14/13,647.67 = 2,524.76/x
3. Step 3: Cross multiply
   9,100.14x = 13,647.67 × 2,524.76
4. Step 4: Simplify right side
   9,100.14x = 34,457,091.31
5. Step 5: Solve for x
   x = 34,457,091.31/9,100.14
6. Step 6: Final answer
   x = 3,786.44