Finding the Fourth Proportional to 10,061.89, 13,885.86 and 5,585.71

Step by Step Solution

1. Step 1: Write the proportion equation
   10,061.89 : 13,885.86 = 5,585.71 : x
2. Step 2: Convert to fraction form
   10,061.89/13,885.86 = 5,585.71/x
3. Step 3: Cross multiply
   10,061.89x = 13,885.86 × 5,585.71
4. Step 4: Simplify right side
   10,061.89x = 77,562,317.63
5. Step 5: Solve for x
   x = 77,562,317.63/10,061.89
6. Step 6: Final answer
   x = 7,708.52