Finding the Fourth Proportional to 10,061.16, 13,883.75 and 5,584.92

Step by Step Solution

1. Step 1: Write the proportion equation
   10,061.16 : 13,883.75 = 5,584.92 : x
2. Step 2: Convert to fraction form
   10,061.16/13,883.75 = 5,584.92/x
3. Step 3: Cross multiply
   10,061.16x = 13,883.75 × 5,584.92
4. Step 4: Simplify right side
   10,061.16x = 77,539,605.13
5. Step 5: Solve for x
   x = 77,539,605.13/10,061.16
6. Step 6: Final answer
   x = 7,706.83