Finding the Fourth Proportional to 9,997.50, 13,796.55 and 5,581.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,997.50 : 13,796.55 = 5,581.50 : x
2. Step 2: Convert to fraction form
   9,997.50/13,796.55 = 5,581.50/x
3. Step 3: Cross multiply
   9,997.50x = 13,796.55 × 5,581.50
4. Step 4: Simplify right side
   9,997.50x = 77,005,443.83
5. Step 5: Solve for x
   x = 77,005,443.83/9,997.50
6. Step 6: Final answer
   x = 7,702.47