Finding the Fourth Proportional to 10,297.50, 14,210.49 and 5,581.77

Step by Step Solution

1. Step 1: Write the proportion equation
   10,297.50 : 14,210.49 = 5,581.77 : x
2. Step 2: Convert to fraction form
   10,297.50/14,210.49 = 5,581.77/x
3. Step 3: Cross multiply
   10,297.50x = 14,210.49 × 5,581.77
4. Step 4: Simplify right side
   10,297.50x = 79,319,686.77
5. Step 5: Solve for x
   x = 79,319,686.77/10,297.50
6. Step 6: Final answer
   x = 7,702.81