Finding the Fourth Proportional to 10,061.83, 13,885.47 and 5,585.87

Step by Step Solution

1. Step 1: Write the proportion equation
   10,061.83 : 13,885.47 = 5,585.87 : x
2. Step 2: Convert to fraction form
   10,061.83/13,885.47 = 5,585.87/x
3. Step 3: Cross multiply
   10,061.83x = 13,885.47 × 5,585.87
4. Step 4: Simplify right side
   10,061.83x = 77,562,360.88
5. Step 5: Solve for x
   x = 77,562,360.88/10,061.83
6. Step 6: Final answer
   x = 7,708.58