Finding the Fourth Proportional to 9,997.75, 13,796.90 and 5,581.75

Step by Step Solution

1. Step 1: Write the proportion equation
   9,997.75 : 13,796.90 = 5,581.75 : x
2. Step 2: Convert to fraction form
   9,997.75/13,796.90 = 5,581.75/x
3. Step 3: Cross multiply
   9,997.75x = 13,796.90 × 5,581.75
4. Step 4: Simplify right side
   9,997.75x = 77,010,818.67
5. Step 5: Solve for x
   x = 77,010,818.67/9,997.75
6. Step 6: Final answer
   x = 7,702.82