Finding the Fourth Proportional to 10,297.35, 14,210.32 and 5,581.63

Step by Step Solution

1. Step 1: Write the proportion equation
   10,297.35 : 14,210.32 = 5,581.63 : x
2. Step 2: Convert to fraction form
   10,297.35/14,210.32 = 5,581.63/x
3. Step 3: Cross multiply
   10,297.35x = 14,210.32 × 5,581.63
4. Step 4: Simplify right side
   10,297.35x = 79,316,691.32
5. Step 5: Solve for x
   x = 79,316,691.32/10,297.35
6. Step 6: Final answer
   x = 7,702.64