Finding the Fourth Proportional to 10,496.81, 14,485.68 and 5,781.40

Step by Step Solution

1. Step 1: Write the proportion equation
   10,496.81 : 14,485.68 = 5,781.40 : x
2. Step 2: Convert to fraction form
   10,496.81/14,485.68 = 5,781.40/x
3. Step 3: Cross multiply
   10,496.81x = 14,485.68 × 5,781.40
4. Step 4: Simplify right side
   10,496.81x = 83,747,474.14
5. Step 5: Solve for x
   x = 83,747,474.14/10,496.81
6. Step 6: Final answer
   x = 7,978.37