Finding the Fourth Proportional to 10,369.54, 14,310.16 and 5,653.82

Step by Step Solution

1. Step 1: Write the proportion equation
   10,369.54 : 14,310.16 = 5,653.82 : x
2. Step 2: Convert to fraction form
   10,369.54/14,310.16 = 5,653.82/x
3. Step 3: Cross multiply
   10,369.54x = 14,310.16 × 5,653.82
4. Step 4: Simplify right side
   10,369.54x = 80,907,068.81
5. Step 5: Solve for x
   x = 80,907,068.81/10,369.54
6. Step 6: Final answer
   x = 7,802.38