Finding the Fourth Proportional to 10,297.10, 14,209.86 and 5,581.34

Step by Step Solution

1. Step 1: Write the proportion equation
   10,297.10 : 14,209.86 = 5,581.34 : x
2. Step 2: Convert to fraction form
   10,297.10/14,209.86 = 5,581.34/x
3. Step 3: Cross multiply
   10,297.10x = 14,209.86 × 5,581.34
4. Step 4: Simplify right side
   10,297.10x = 79,310,060.01
5. Step 5: Solve for x
   x = 79,310,060.01/10,297.10
6. Step 6: Final answer
   x = 7,702.17