Finding the Fourth Proportional to 5,149.94, 7,733.55 and 5,109.62

Step by Step Solution

1. Step 1: Write the proportion equation
   5,149.94 : 7,733.55 = 5,109.62 : x
2. Step 2: Convert to fraction form
   5,149.94/7,733.55 = 5,109.62/x
3. Step 3: Cross multiply
   5,149.94x = 7,733.55 × 5,109.62
4. Step 4: Simplify right side
   5,149.94x = 39,515,501.75
5. Step 5: Solve for x
   x = 39,515,501.75/5,149.94
6. Step 6: Final answer
   x = 7,673.00