Finding the Fourth Proportional to 10,022.67, 13,830.94 and 5,546.61

Step by Step Solution

1. Step 1: Write the proportion equation
   10,022.67 : 13,830.94 = 5,546.61 : x
2. Step 2: Convert to fraction form
   10,022.67/13,830.94 = 5,546.61/x
3. Step 3: Cross multiply
   10,022.67x = 13,830.94 × 5,546.61
4. Step 4: Simplify right side
   10,022.67x = 76,714,826.69
5. Step 5: Solve for x
   x = 76,714,826.69/10,022.67
6. Step 6: Final answer
   x = 7,654.13