Finding the Fourth Proportional to 9,802.10, 14,678.23 and 5,414.75

Step by Step Solution

1. Step 1: Write the proportion equation
   9,802.10 : 14,678.23 = 5,414.75 : x
2. Step 2: Convert to fraction form
   9,802.10/14,678.23 = 5,414.75/x
3. Step 3: Cross multiply
   9,802.10x = 14,678.23 × 5,414.75
4. Step 4: Simplify right side
   9,802.10x = 79,478,945.89
5. Step 5: Solve for x
   x = 79,478,945.89/9,802.10
6. Step 6: Final answer
   x = 8,108.36