Finding the Fourth Proportional to 9,881.34, 13,636.17 and 5,689.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,881.34 : 13,636.17 = 5,689.50 : x
2. Step 2: Convert to fraction form
   9,881.34/13,636.17 = 5,689.50/x
3. Step 3: Cross multiply
   9,881.34x = 13,636.17 × 5,689.50
4. Step 4: Simplify right side
   9,881.34x = 77,582,989.22
5. Step 5: Solve for x
   x = 77,582,989.22/9,881.34
6. Step 6: Final answer
   x = 7,851.46