Finding the Fourth Proportional to 10,409.48, 14,365.10 and 5,693.76

Step by Step Solution

1. Step 1: Write the proportion equation
   10,409.48 : 14,365.10 = 5,693.76 : x
2. Step 2: Convert to fraction form
   10,409.48/14,365.10 = 5,693.76/x
3. Step 3: Cross multiply
   10,409.48x = 14,365.10 × 5,693.76
4. Step 4: Simplify right side
   10,409.48x = 81,791,431.78
5. Step 5: Solve for x
   x = 81,791,431.78/10,409.48
6. Step 6: Final answer
   x = 7,857.40