Finding the Fourth Proportional to 10,297.34, 14,210.30 and 5,581.62

Step by Step Solution

1. Step 1: Write the proportion equation
   10,297.34 : 14,210.30 = 5,581.62 : x
2. Step 2: Convert to fraction form
   10,297.34/14,210.30 = 5,581.62/x
3. Step 3: Cross multiply
   10,297.34x = 14,210.30 × 5,581.62
4. Step 4: Simplify right side
   10,297.34x = 79,316,494.69
5. Step 5: Solve for x
   x = 79,316,494.69/10,297.34
6. Step 6: Final answer
   x = 7,702.62