Finding the Fourth Proportional to 5,196.36, 7,829.61 and 4,292.17

Step by Step Solution

1. Step 1: Write the proportion equation
   5,196.36 : 7,829.61 = 4,292.17 : x
2. Step 2: Convert to fraction form
   5,196.36/7,829.61 = 4,292.17/x
3. Step 3: Cross multiply
   5,196.36x = 7,829.61 × 4,292.17
4. Step 4: Simplify right side
   5,196.36x = 33,606,017.15
5. Step 5: Solve for x
   x = 33,606,017.15/5,196.36
6. Step 6: Final answer
   x = 6,467.23