Finding the Fourth Proportional to 9,975.92, 13,766.14 and 5,499.42

Step by Step Solution

1. Step 1: Write the proportion equation
   9,975.92 : 13,766.14 = 5,499.42 : x
2. Step 2: Convert to fraction form
   9,975.92/13,766.14 = 5,499.42/x
3. Step 3: Cross multiply
   9,975.92x = 13,766.14 × 5,499.42
4. Step 4: Simplify right side
   9,975.92x = 75,705,785.64
5. Step 5: Solve for x
   x = 75,705,785.64/9,975.92
6. Step 6: Final answer
   x = 7,588.85