Finding the Fourth Proportional to 10,061.26, 13,884.36 and 5,584.78

Step by Step Solution

1. Step 1: Write the proportion equation
   10,061.26 : 13,884.36 = 5,584.78 : x
2. Step 2: Convert to fraction form
   10,061.26/13,884.36 = 5,584.78/x
3. Step 3: Cross multiply
   10,061.26x = 13,884.36 × 5,584.78
4. Step 4: Simplify right side
   10,061.26x = 77,541,096.04
5. Step 5: Solve for x
   x = 77,541,096.04/10,061.26
6. Step 6: Final answer
   x = 7,706.90