Finding the Fourth Proportional to 9,970.06, 13,759.50 and 5,494.23

Step by Step Solution

1. Step 1: Write the proportion equation
   9,970.06 : 13,759.50 = 5,494.23 : x
2. Step 2: Convert to fraction form
   9,970.06/13,759.50 = 5,494.23/x
3. Step 3: Cross multiply
   9,970.06x = 13,759.50 × 5,494.23
4. Step 4: Simplify right side
   9,970.06x = 75,597,857.69
5. Step 5: Solve for x
   x = 75,597,857.69/9,970.06
6. Step 6: Final answer
   x = 7,582.49