Finding the Fourth Proportional to 6,814.25, 9,404.79 and 4,688.00

Step by Step Solution

1. Step 1: Write the proportion equation
   6,814.25 : 9,404.79 = 4,688.00 : x
2. Step 2: Convert to fraction form
   6,814.25/9,404.79 = 4,688.00/x
3. Step 3: Cross multiply
   6,814.25x = 9,404.79 × 4,688.00
4. Step 4: Simplify right side
   6,814.25x = 44,089,608.50
5. Step 5: Solve for x
   x = 44,089,608.50/6,814.25
6. Step 6: Final answer
   x = 6,470.21