Finding the Fourth Proportional to 9,535.83, 14,307.68 and 4,196.27

Step by Step Solution

1. Step 1: Write the proportion equation
   9,535.83 : 14,307.68 = 4,196.27 : x
2. Step 2: Convert to fraction form
   9,535.83/14,307.68 = 4,196.27/x
3. Step 3: Cross multiply
   9,535.83x = 14,307.68 × 4,196.27
4. Step 4: Simplify right side
   9,535.83x = 60,038,795.83
5. Step 5: Solve for x
   x = 60,038,795.83/9,535.83
6. Step 6: Final answer
   x = 6,296.13