Finding the Fourth Proportional to 9,973.64, 13,763.72 and 5,497.57

Step by Step Solution

1. Step 1: Write the proportion equation
   9,973.64 : 13,763.72 = 5,497.57 : x
2. Step 2: Convert to fraction form
   9,973.64/13,763.72 = 5,497.57/x
3. Step 3: Cross multiply
   9,973.64x = 13,763.72 × 5,497.57
4. Step 4: Simplify right side
   9,973.64x = 75,666,993.50
5. Step 5: Solve for x
   x = 75,666,993.50/9,973.64
6. Step 6: Final answer
   x = 7,586.70