Finding the Fourth Proportional to 6,164.37, 8,510.78 and 5,500.06

Step by Step Solution

1. Step 1: Write the proportion equation
   6,164.37 : 8,510.78 = 5,500.06 : x
2. Step 2: Convert to fraction form
   6,164.37/8,510.78 = 5,500.06/x
3. Step 3: Cross multiply
   6,164.37x = 8,510.78 × 5,500.06
4. Step 4: Simplify right side
   6,164.37x = 46,809,793.12
5. Step 5: Solve for x
   x = 46,809,793.12/6,164.37
6. Step 6: Final answer
   x = 7,593.61