Finding the Fourth Proportional to 5,189.94, 7,793.55 and 5,149.62

Step by Step Solution

1. Step 1: Write the proportion equation
   5,189.94 : 7,793.55 = 5,149.62 : x
2. Step 2: Convert to fraction form
   5,189.94/7,793.55 = 5,149.62/x
3. Step 3: Cross multiply
   5,189.94x = 7,793.55 × 5,149.62
4. Step 4: Simplify right side
   5,189.94x = 40,133,820.95
5. Step 5: Solve for x
   x = 40,133,820.95/5,189.94
6. Step 6: Final answer
   x = 7,733.00