Finding the Fourth Proportional to 10,140.95, 13,994.03 and 5,663.81

Step by Step Solution

1. Step 1: Write the proportion equation
   10,140.95 : 13,994.03 = 5,663.81 : x
2. Step 2: Convert to fraction form
   10,140.95/13,994.03 = 5,663.81/x
3. Step 3: Cross multiply
   10,140.95x = 13,994.03 × 5,663.81
4. Step 4: Simplify right side
   10,140.95x = 79,259,576.20
5. Step 5: Solve for x
   x = 79,259,576.20/10,140.95
6. Step 6: Final answer
   x = 7,815.79