Finding the Fourth Proportional to 10,061.82, 13,884.66 and 5,585.58

Step by Step Solution

1. Step 1: Write the proportion equation
   10,061.82 : 13,884.66 = 5,585.58 : x
2. Step 2: Convert to fraction form
   10,061.82/13,884.66 = 5,585.58/x
3. Step 3: Cross multiply
   10,061.82x = 13,884.66 × 5,585.58
4. Step 4: Simplify right side
   10,061.82x = 77,553,879.20
5. Step 5: Solve for x
   x = 77,553,879.20/10,061.82
6. Step 6: Final answer
   x = 7,707.74