Finding the Fourth Proportional to 9,970.38, 13,759.50 and 5,494.32

Step by Step Solution

1. Step 1: Write the proportion equation
   9,970.38 : 13,759.50 = 5,494.32 : x
2. Step 2: Convert to fraction form
   9,970.38/13,759.50 = 5,494.32/x
3. Step 3: Cross multiply
   9,970.38x = 13,759.50 × 5,494.32
4. Step 4: Simplify right side
   9,970.38x = 75,599,096.04
5. Step 5: Solve for x
   x = 75,599,096.04/9,970.38
6. Step 6: Final answer
   x = 7,582.37