Finding the Fourth Proportional to 10,061.10, 13,883.66 and 5,584.63

Step by Step Solution

1. Step 1: Write the proportion equation
   10,061.10 : 13,883.66 = 5,584.63 : x
2. Step 2: Convert to fraction form
   10,061.10/13,883.66 = 5,584.63/x
3. Step 3: Cross multiply
   10,061.10x = 13,883.66 × 5,584.63
4. Step 4: Simplify right side
   10,061.10x = 77,535,076.22
5. Step 5: Solve for x
   x = 77,535,076.22/10,061.10
6. Step 6: Final answer
   x = 7,706.43