Finding the Fourth Proportional to 10,506.72, 15,761.52 and 4,663.20

Step by Step Solution

1. Step 1: Write the proportion equation
   10,506.72 : 15,761.52 = 4,663.20 : x
2. Step 2: Convert to fraction form
   10,506.72/15,761.52 = 4,663.20/x
3. Step 3: Cross multiply
   10,506.72x = 15,761.52 × 4,663.20
4. Step 4: Simplify right side
   10,506.72x = 73,499,120.06
5. Step 5: Solve for x
   x = 73,499,120.06/10,506.72
6. Step 6: Final answer
   x = 6,995.44