Finding the Fourth Proportional to 10,259.31, 14,157.89 and 5,543.63

Step by Step Solution

1. Step 1: Write the proportion equation
   10,259.31 : 14,157.89 = 5,543.63 : x
2. Step 2: Convert to fraction form
   10,259.31/14,157.89 = 5,543.63/x
3. Step 3: Cross multiply
   10,259.31x = 14,157.89 × 5,543.63
4. Step 4: Simplify right side
   10,259.31x = 78,486,103.74
5. Step 5: Solve for x
   x = 78,486,103.74/10,259.31
6. Step 6: Final answer
   x = 7,650.23