Finding the Fourth Proportional to 5,646.72, 7,795.20 and 3,761.48

Step by Step Solution

1. Step 1: Write the proportion equation
   5,646.72 : 7,795.20 = 3,761.48 : x
2. Step 2: Convert to fraction form
   5,646.72/7,795.20 = 3,761.48/x
3. Step 3: Cross multiply
   5,646.72x = 7,795.20 × 3,761.48
4. Step 4: Simplify right side
   5,646.72x = 29,321,488.90
5. Step 5: Solve for x
   x = 29,321,488.90/5,646.72
6. Step 6: Final answer
   x = 5,192.66