Finding the Fourth Proportional to 10,061.82, 13,884.41 and 5,584.55

Step by Step Solution

1. Step 1: Write the proportion equation
   10,061.82 : 13,884.41 = 5,584.55 : x
2. Step 2: Convert to fraction form
   10,061.82/13,884.41 = 5,584.55/x
3. Step 3: Cross multiply
   10,061.82x = 13,884.41 × 5,584.55
4. Step 4: Simplify right side
   10,061.82x = 77,538,126.40
5. Step 5: Solve for x
   x = 77,538,126.40/10,061.82
6. Step 6: Final answer
   x = 7,706.17