Finding the Fourth Proportional to 10,369.46, 14,309.82 and 5,653.74

Step by Step Solution

1. Step 1: Write the proportion equation
   10,369.46 : 14,309.82 = 5,653.74 : x
2. Step 2: Convert to fraction form
   10,369.46/14,309.82 = 5,653.74/x
3. Step 3: Cross multiply
   10,369.46x = 14,309.82 × 5,653.74
4. Step 4: Simplify right side
   10,369.46x = 80,903,969.27
5. Step 5: Solve for x
   x = 80,903,969.27/10,369.46
6. Step 6: Final answer
   x = 7,802.14