Finding the Fourth Proportional to 10,022.61, 13,830.86 and 5,546.55

Step by Step Solution

1. Step 1: Write the proportion equation
   10,022.61 : 13,830.86 = 5,546.55 : x
2. Step 2: Convert to fraction form
   10,022.61/13,830.86 = 5,546.55/x
3. Step 3: Cross multiply
   10,022.61x = 13,830.86 × 5,546.55
4. Step 4: Simplify right side
   10,022.61x = 76,713,483.87
5. Step 5: Solve for x
   x = 76,713,483.87/10,022.61
6. Step 6: Final answer
   x = 7,654.05