Finding the Fourth Proportional to 10,061.21, 13,883.40 and 5,584.85

Step by Step Solution

1. Step 1: Write the proportion equation
   10,061.21 : 13,883.40 = 5,584.85 : x
2. Step 2: Convert to fraction form
   10,061.21/13,883.40 = 5,584.85/x
3. Step 3: Cross multiply
   10,061.21x = 13,883.40 × 5,584.85
4. Step 4: Simplify right side
   10,061.21x = 77,536,689.14
5. Step 5: Solve for x
   x = 77,536,689.14/10,061.21
6. Step 6: Final answer
   x = 7,706.50