Finding the Fourth Proportional to 13,749.72, 18,973.71 and 7,782

Step by Step Solution

1. Step 1: Write the proportion equation
   13,749.72 : 18,973.71 = 7,782 : x
2. Step 2: Convert to fraction form
   13,749.72/18,973.71 = 7,782/x
3. Step 3: Cross multiply
   13,749.72x = 18,973.71 × 7,782
4. Step 4: Simplify right side
   13,749.72x = 147,653,411.22
5. Step 5: Solve for x
   x = 147,653,411.22/13,749.72
6. Step 6: Final answer
   x = 10,738.65