Finding the Fourth Proportional to 12,813, 19,221.82 and 5,796.32

Step by Step Solution

1. Step 1: Write the proportion equation
   12,813 : 19,221.82 = 5,796.32 : x
2. Step 2: Convert to fraction form
   12,813/19,221.82 = 5,796.32/x
3. Step 3: Cross multiply
   12,813x = 19,221.82 × 5,796.32
4. Step 4: Simplify right side
   12,813x = 111,415,786.14
5. Step 5: Solve for x
   x = 111,415,786.14/12,813
6. Step 6: Final answer
   x = 8,695.53