Finding the Fourth Proportional to 10,297.47, 14,210.49 and 5,581.75

Step by Step Solution

1. Step 1: Write the proportion equation
   10,297.47 : 14,210.49 = 5,581.75 : x
2. Step 2: Convert to fraction form
   10,297.47/14,210.49 = 5,581.75/x
3. Step 3: Cross multiply
   10,297.47x = 14,210.49 × 5,581.75
4. Step 4: Simplify right side
   10,297.47x = 79,319,441.25
5. Step 5: Solve for x
   x = 79,319,441.25/10,297.47
6. Step 6: Final answer
   x = 7,702.81