Finding the Fourth Proportional to 10,021.76, 13,830.32 and 5,546.08

Step by Step Solution

1. Step 1: Write the proportion equation
   10,021.76 : 13,830.32 = 5,546.08 : x
2. Step 2: Convert to fraction form
   10,021.76/13,830.32 = 5,546.08/x
3. Step 3: Cross multiply
   10,021.76x = 13,830.32 × 5,546.08
4. Step 4: Simplify right side
   10,021.76x = 76,704,061.15
5. Step 5: Solve for x
   x = 76,704,061.15/10,021.76
6. Step 6: Final answer
   x = 7,653.75