Finding the Fourth Proportional to 9,970.74, 13,758.90 and 5,494.23

Step by Step Solution

1. Step 1: Write the proportion equation
   9,970.74 : 13,758.90 = 5,494.23 : x
2. Step 2: Convert to fraction form
   9,970.74/13,758.90 = 5,494.23/x
3. Step 3: Cross multiply
   9,970.74x = 13,758.90 × 5,494.23
4. Step 4: Simplify right side
   9,970.74x = 75,594,561.15
5. Step 5: Solve for x
   x = 75,594,561.15/9,970.74
6. Step 6: Final answer
   x = 7,581.64