Finding the Fourth Proportional to 9,973.52, 13,764.06 and 5,497.27

Step by Step Solution

1. Step 1: Write the proportion equation
   9,973.52 : 13,764.06 = 5,497.27 : x
2. Step 2: Convert to fraction form
   9,973.52/13,764.06 = 5,497.27/x
3. Step 3: Cross multiply
   9,973.52x = 13,764.06 × 5,497.27
4. Step 4: Simplify right side
   9,973.52x = 75,664,719.71
5. Step 5: Solve for x
   x = 75,664,719.71/9,973.52
6. Step 6: Final answer
   x = 7,586.56