Finding the Fourth Proportional to 7,834.50, 11,806.74 and 7,055.37

Step by Step Solution

1. Step 1: Write the proportion equation
   7,834.50 : 11,806.74 = 7,055.37 : x
2. Step 2: Convert to fraction form
   7,834.50/11,806.74 = 7,055.37/x
3. Step 3: Cross multiply
   7,834.50x = 11,806.74 × 7,055.37
4. Step 4: Simplify right side
   7,834.50x = 83,300,919.19
5. Step 5: Solve for x
   x = 83,300,919.19/7,834.50
6. Step 6: Final answer
   x = 10,632.58