Finding the Fourth Proportional to 7,822.32, 10,795.38 and 5,165.12

Step by Step Solution

1. Step 1: Write the proportion equation
   7,822.32 : 10,795.38 = 5,165.12 : x
2. Step 2: Convert to fraction form
   7,822.32/10,795.38 = 5,165.12/x
3. Step 3: Cross multiply
   7,822.32x = 10,795.38 × 5,165.12
4. Step 4: Simplify right side
   7,822.32x = 55,759,433.15
5. Step 5: Solve for x
   x = 55,759,433.15/7,822.32
6. Step 6: Final answer
   x = 7,128.25