Finding the Fourth Proportional to 13,749.71, 18,974.59 and 7,462.08

Step by Step Solution

1. Step 1: Write the proportion equation
   13,749.71 : 18,974.59 = 7,462.08 : x
2. Step 2: Convert to fraction form
   13,749.71/18,974.59 = 7,462.08/x
3. Step 3: Cross multiply
   13,749.71x = 18,974.59 × 7,462.08
4. Step 4: Simplify right side
   13,749.71x = 141,590,003.02
5. Step 5: Solve for x
   x = 141,590,003.02/13,749.71
6. Step 6: Final answer
   x = 10,297.67