Finding the Fourth Proportional to 10,022.98, 13,830.64 and 5,546.02

Step by Step Solution

1. Step 1: Write the proportion equation
   10,022.98 : 13,830.64 = 5,546.02 : x
2. Step 2: Convert to fraction form
   10,022.98/13,830.64 = 5,546.02/x
3. Step 3: Cross multiply
   10,022.98x = 13,830.64 × 5,546.02
4. Step 4: Simplify right side
   10,022.98x = 76,705,006.05
5. Step 5: Solve for x
   x = 76,705,006.05/10,022.98
6. Step 6: Final answer
   x = 7,652.91