Finding the Fourth Proportional to 9,697.80, 13,382.99 and 5,506.05

Step by Step Solution

1. Step 1: Write the proportion equation
   9,697.80 : 13,382.99 = 5,506.05 : x
2. Step 2: Convert to fraction form
   9,697.80/13,382.99 = 5,506.05/x
3. Step 3: Cross multiply
   9,697.80x = 13,382.99 × 5,506.05
4. Step 4: Simplify right side
   9,697.80x = 73,687,434.75
5. Step 5: Solve for x
   x = 73,687,434.75/9,697.80
6. Step 6: Final answer
   x = 7,598.36