Finding the Fourth Proportional to 10,019.89, 13,827.07 and 5,543.83

Step by Step Solution

1. Step 1: Write the proportion equation
   10,019.89 : 13,827.07 = 5,543.83 : x
2. Step 2: Convert to fraction form
   10,019.89/13,827.07 = 5,543.83/x
3. Step 3: Cross multiply
   10,019.89x = 13,827.07 × 5,543.83
4. Step 4: Simplify right side
   10,019.89x = 76,654,925.48
5. Step 5: Solve for x
   x = 76,654,925.48/10,019.89
6. Step 6: Final answer
   x = 7,650.28