Finding the Fourth Proportional to 9,970.32, 13,758.75 and 5,494.05

Step by Step Solution

1. Step 1: Write the proportion equation
   9,970.32 : 13,758.75 = 5,494.05 : x
2. Step 2: Convert to fraction form
   9,970.32/13,758.75 = 5,494.05/x
3. Step 3: Cross multiply
   9,970.32x = 13,758.75 × 5,494.05
4. Step 4: Simplify right side
   9,970.32x = 75,591,260.44
5. Step 5: Solve for x
   x = 75,591,260.44/9,970.32
6. Step 6: Final answer
   x = 7,581.63