Finding the Fourth Proportional to 10,061.76, 13,885.02 and 5,585.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,061.76 : 13,885.02 = 5,585.25 : x
2. Step 2: Convert to fraction form
   10,061.76/13,885.02 = 5,585.25/x
3. Step 3: Cross multiply
   10,061.76x = 13,885.02 × 5,585.25
4. Step 4: Simplify right side
   10,061.76x = 77,551,307.96
5. Step 5: Solve for x
   x = 77,551,307.96/10,061.76
6. Step 6: Final answer
   x = 7,707.53