Finding the Fourth Proportional to 12,813.50, 19,222.58 and 5,796.82

Step by Step Solution

1. Step 1: Write the proportion equation
   12,813.50 : 19,222.58 = 5,796.82 : x
2. Step 2: Convert to fraction form
   12,813.50/19,222.58 = 5,796.82/x
3. Step 3: Cross multiply
   12,813.50x = 19,222.58 × 5,796.82
4. Step 4: Simplify right side
   12,813.50x = 111,429,759.16
5. Step 5: Solve for x
   x = 111,429,759.16/12,813.50
6. Step 6: Final answer
   x = 8,696.28