Finding the Fourth Proportional to 10,297.36, 14,210.34 and 5,581.64

Step by Step Solution

1. Step 1: Write the proportion equation
   10,297.36 : 14,210.34 = 5,581.64 : x
2. Step 2: Convert to fraction form
   10,297.36/14,210.34 = 5,581.64/x
3. Step 3: Cross multiply
   10,297.36x = 14,210.34 × 5,581.64
4. Step 4: Simplify right side
   10,297.36x = 79,317,002.16
5. Step 5: Solve for x
   x = 79,317,002.16/10,297.36
6. Step 6: Final answer
   x = 7,702.65