Finding the Fourth Proportional to 9,805.59, 14,696.46 and 5,648.49

Step by Step Solution

1. Step 1: Write the proportion equation
   9,805.59 : 14,696.46 = 5,648.49 : x
2. Step 2: Convert to fraction form
   9,805.59/14,696.46 = 5,648.49/x
3. Step 3: Cross multiply
   9,805.59x = 14,696.46 × 5,648.49
4. Step 4: Simplify right side
   9,805.59x = 83,012,807.35
5. Step 5: Solve for x
   x = 83,012,807.35/9,805.59
6. Step 6: Final answer
   x = 8,465.87