Finding the Fourth Proportional to 12,822.18, 19,235.43 and 5,896.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,822.18 : 19,235.43 = 5,896.50 : x
2. Step 2: Convert to fraction form
   12,822.18/19,235.43 = 5,896.50/x
3. Step 3: Cross multiply
   12,822.18x = 19,235.43 × 5,896.50
4. Step 4: Simplify right side
   12,822.18x = 113,421,713.00
5. Step 5: Solve for x
   x = 113,421,713.00/12,822.18
6. Step 6: Final answer
   x = 8,845.74