Finding the Fourth Proportional to 9,973.84, 13,764.50 and 5,497.58

Step by Step Solution

1. Step 1: Write the proportion equation
   9,973.84 : 13,764.50 = 5,497.58 : x
2. Step 2: Convert to fraction form
   9,973.84/13,764.50 = 5,497.58/x
3. Step 3: Cross multiply
   9,973.84x = 13,764.50 × 5,497.58
4. Step 4: Simplify right side
   9,973.84x = 75,671,439.91
5. Step 5: Solve for x
   x = 75,671,439.91/9,973.84
6. Step 6: Final answer
   x = 7,586.99