Finding the Fourth Proportional to 10,368.96, 14,309.46 and 5,653.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,368.96 : 14,309.46 = 5,653.50 : x
2. Step 2: Convert to fraction form
   10,368.96/14,309.46 = 5,653.50/x
3. Step 3: Cross multiply
   10,368.96x = 14,309.46 × 5,653.50
4. Step 4: Simplify right side
   10,368.96x = 80,898,532.11
5. Step 5: Solve for x
   x = 80,898,532.11/10,368.96
6. Step 6: Final answer
   x = 7,801.99