Finding the Fourth Proportional to 10,339.50, 14,268.58 and 5,623.82

Step by Step Solution

1. Step 1: Write the proportion equation
   10,339.50 : 14,268.58 = 5,623.82 : x
2. Step 2: Convert to fraction form
   10,339.50/14,268.58 = 5,623.82/x
3. Step 3: Cross multiply
   10,339.50x = 14,268.58 × 5,623.82
4. Step 4: Simplify right side
   10,339.50x = 80,243,840.17
5. Step 5: Solve for x
   x = 80,243,840.17/10,339.50
6. Step 6: Final answer
   x = 7,760.90