Finding the Fourth Proportional to 10,412.78, 14,369.51 and 5,697

Step by Step Solution

1. Step 1: Write the proportion equation
   10,412.78 : 14,369.51 = 5,697 : x
2. Step 2: Convert to fraction form
   10,412.78/14,369.51 = 5,697/x
3. Step 3: Cross multiply
   10,412.78x = 14,369.51 × 5,697
4. Step 4: Simplify right side
   10,412.78x = 81,863,112.71
5. Step 5: Solve for x
   x = 81,863,112.71/10,412.78
6. Step 6: Final answer
   x = 7,861.80