Finding the Fourth Proportional to 5,180.44, 7,730.83 and 5,150.86

Step by Step Solution

1. Step 1: Write the proportion equation
   5,180.44 : 7,730.83 = 5,150.86 : x
2. Step 2: Convert to fraction form
   5,180.44/7,730.83 = 5,150.86/x
3. Step 3: Cross multiply
   5,180.44x = 7,730.83 × 5,150.86
4. Step 4: Simplify right side
   5,180.44x = 39,820,423.01
5. Step 5: Solve for x
   x = 39,820,423.01/5,180.44
6. Step 6: Final answer
   x = 7,686.69