Finding the Fourth Proportional to 9,839.48, 14,763.06 and 5,677.29

Step by Step Solution

1. Step 1: Write the proportion equation
   9,839.48 : 14,763.06 = 5,677.29 : x
2. Step 2: Convert to fraction form
   9,839.48/14,763.06 = 5,677.29/x
3. Step 3: Cross multiply
   9,839.48x = 14,763.06 × 5,677.29
4. Step 4: Simplify right side
   9,839.48x = 83,814,172.91
5. Step 5: Solve for x
   x = 83,814,172.91/9,839.48
6. Step 6: Final answer
   x = 8,518.15