Finding the Fourth Proportional to 9,696.55, 13,380.88 and 5,926.02

Step by Step Solution

1. Step 1: Write the proportion equation
   9,696.55 : 13,380.88 = 5,926.02 : x
2. Step 2: Convert to fraction form
   9,696.55/13,380.88 = 5,926.02/x
3. Step 3: Cross multiply
   9,696.55x = 13,380.88 × 5,926.02
4. Step 4: Simplify right side
   9,696.55x = 79,295,362.50
5. Step 5: Solve for x
   x = 79,295,362.50/9,696.55
6. Step 6: Final answer
   x = 8,177.69