Finding the Fourth Proportional to 10,019.68, 13,827.38 and 5,543.75

Step by Step Solution

1. Step 1: Write the proportion equation
   10,019.68 : 13,827.38 = 5,543.75 : x
2. Step 2: Convert to fraction form
   10,019.68/13,827.38 = 5,543.75/x
3. Step 3: Cross multiply
   10,019.68x = 13,827.38 × 5,543.75
4. Step 4: Simplify right side
   10,019.68x = 76,655,586.30
5. Step 5: Solve for x
   x = 76,655,586.30/10,019.68
6. Step 6: Final answer
   x = 7,650.50