Finding the Fourth Proportional to 10,259.14, 14,157.61 and 5,543.43

Step by Step Solution

1. Step 1: Write the proportion equation
   10,259.14 : 14,157.61 = 5,543.43 : x
2. Step 2: Convert to fraction form
   10,259.14/14,157.61 = 5,543.43/x
3. Step 3: Cross multiply
   10,259.14x = 14,157.61 × 5,543.43
4. Step 4: Simplify right side
   10,259.14x = 78,481,720.00
5. Step 5: Solve for x
   x = 78,481,720.00/10,259.14
6. Step 6: Final answer
   x = 7,649.93