Finding the Fourth Proportional to 10,364.23, 14,302.68 and 5,648.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,364.23 : 14,302.68 = 5,648.50 : x
2. Step 2: Convert to fraction form
   10,364.23/14,302.68 = 5,648.50/x
3. Step 3: Cross multiply
   10,364.23x = 14,302.68 × 5,648.50
4. Step 4: Simplify right side
   10,364.23x = 80,788,687.98
5. Step 5: Solve for x
   x = 80,788,687.98/10,364.23
6. Step 6: Final answer
   x = 7,794.95