Finding the Fourth Proportional to 10,022.43, 13,830.98 and 5,546.49

Step by Step Solution

1. Step 1: Write the proportion equation
   10,022.43 : 13,830.98 = 5,546.49 : x
2. Step 2: Convert to fraction form
   10,022.43/13,830.98 = 5,546.49/x
3. Step 3: Cross multiply
   10,022.43x = 13,830.98 × 5,546.49
4. Step 4: Simplify right side
   10,022.43x = 76,713,364.53
5. Step 5: Solve for x
   x = 76,713,364.53/10,022.43
6. Step 6: Final answer
   x = 7,654.17