Finding the Fourth Proportional to 10,258.82, 14,157.17 and 5,543.10

Step by Step Solution

1. Step 1: Write the proportion equation
   10,258.82 : 14,157.17 = 5,543.10 : x
2. Step 2: Convert to fraction form
   10,258.82/14,157.17 = 5,543.10/x
3. Step 3: Cross multiply
   10,258.82x = 14,157.17 × 5,543.10
4. Step 4: Simplify right side
   10,258.82x = 78,474,581.31
5. Step 5: Solve for x
   x = 78,474,581.31/10,258.82
6. Step 6: Final answer
   x = 7,649.48