Finding the Fourth Proportional to 5,092.02, 7,641.81 and 3,789.54

Step by Step Solution

1. Step 1: Write the proportion equation
   5,092.02 : 7,641.81 = 3,789.54 : x
2. Step 2: Convert to fraction form
   5,092.02/7,641.81 = 3,789.54/x
3. Step 3: Cross multiply
   5,092.02x = 7,641.81 × 3,789.54
4. Step 4: Simplify right side
   5,092.02x = 28,958,944.67
5. Step 5: Solve for x
   x = 28,958,944.67/5,092.02
6. Step 6: Final answer
   x = 5,687.12