Finding the Fourth Proportional to 9,922.75, 13,693.41 and 5,506.75

Step by Step Solution

1. Step 1: Write the proportion equation
   9,922.75 : 13,693.41 = 5,506.75 : x
2. Step 2: Convert to fraction form
   9,922.75/13,693.41 = 5,506.75/x
3. Step 3: Cross multiply
   9,922.75x = 13,693.41 × 5,506.75
4. Step 4: Simplify right side
   9,922.75x = 75,406,185.52
5. Step 5: Solve for x
   x = 75,406,185.52/9,922.75
6. Step 6: Final answer
   x = 7,599.32