Finding the Fourth Proportional to 6,629.50, 9,149.93 and 3,835

Step by Step Solution

1. Step 1: Write the proportion equation
   6,629.50 : 9,149.93 = 3,835 : x
2. Step 2: Convert to fraction form
   6,629.50/9,149.93 = 3,835/x
3. Step 3: Cross multiply
   6,629.50x = 9,149.93 × 3,835
4. Step 4: Simplify right side
   6,629.50x = 35,089,981.55
5. Step 5: Solve for x
   x = 35,089,981.55/6,629.50
6. Step 6: Final answer
   x = 5,293.01