Finding the Fourth Proportional to 10,022.96, 13,830.50 and 5,546.12

Step by Step Solution

1. Step 1: Write the proportion equation
   10,022.96 : 13,830.50 = 5,546.12 : x
2. Step 2: Convert to fraction form
   10,022.96/13,830.50 = 5,546.12/x
3. Step 3: Cross multiply
   10,022.96x = 13,830.50 × 5,546.12
4. Step 4: Simplify right side
   10,022.96x = 76,705,612.66
5. Step 5: Solve for x
   x = 76,705,612.66/10,022.96
6. Step 6: Final answer
   x = 7,652.99