Finding the Fourth Proportional to 13,749.63, 18,974.48 and 7,462.01

Step by Step Solution

1. Step 1: Write the proportion equation
   13,749.63 : 18,974.48 = 7,462.01 : x
2. Step 2: Convert to fraction form
   13,749.63/18,974.48 = 7,462.01/x
3. Step 3: Cross multiply
   13,749.63x = 18,974.48 × 7,462.01
4. Step 4: Simplify right side
   13,749.63x = 141,587,627.32
5. Step 5: Solve for x
   x = 141,587,627.32/13,749.63
6. Step 6: Final answer
   x = 10,297.56