Finding the Fourth Proportional to 6,923.78, 10,382.00 and 3,023.63

Step by Step Solution

1. Step 1: Write the proportion equation
   6,923.78 : 10,382.00 = 3,023.63 : x
2. Step 2: Convert to fraction form
   6,923.78/10,382.00 = 3,023.63/x
3. Step 3: Cross multiply
   6,923.78x = 10,382.00 × 3,023.63
4. Step 4: Simplify right side
   6,923.78x = 31,391,259.63
5. Step 5: Solve for x
   x = 31,391,259.63/6,923.78
6. Step 6: Final answer
   x = 4,533.84