Finding the Fourth Proportional to 10,020.75, 13,827.50 and 5,543.88

Step by Step Solution

1. Step 1: Write the proportion equation
   10,020.75 : 13,827.50 = 5,543.88 : x
2. Step 2: Convert to fraction form
   10,020.75/13,827.50 = 5,543.88/x
3. Step 3: Cross multiply
   10,020.75x = 13,827.50 × 5,543.88
4. Step 4: Simplify right side
   10,020.75x = 76,657,972.98
5. Step 5: Solve for x
   x = 76,657,972.98/10,020.75
6. Step 6: Final answer
   x = 7,649.92