Finding the Fourth Proportional to 9,880.84, 13,636.76 and 5,689

Step by Step Solution

1. Step 1: Write the proportion equation
   9,880.84 : 13,636.76 = 5,689 : x
2. Step 2: Convert to fraction form
   9,880.84/13,636.76 = 5,689/x
3. Step 3: Cross multiply
   9,880.84x = 13,636.76 × 5,689
4. Step 4: Simplify right side
   9,880.84x = 77,579,527.64
5. Step 5: Solve for x
   x = 77,579,527.64/9,880.84
6. Step 6: Final answer
   x = 7,851.51