Finding the Fourth Proportional to 10,408.78, 14,364.23 and 5,693.05

Step by Step Solution

1. Step 1: Write the proportion equation
   10,408.78 : 14,364.23 = 5,693.05 : x
2. Step 2: Convert to fraction form
   10,408.78/14,364.23 = 5,693.05/x
3. Step 3: Cross multiply
   10,408.78x = 14,364.23 × 5,693.05
4. Step 4: Simplify right side
   10,408.78x = 81,776,279.60
5. Step 5: Solve for x
   x = 81,776,279.60/10,408.78
6. Step 6: Final answer
   x = 7,856.47