Finding the Fourth Proportional to 10,111.87, 13,954.81 and 5,635.62

Step by Step Solution

1. Step 1: Write the proportion equation
   10,111.87 : 13,954.81 = 5,635.62 : x
2. Step 2: Convert to fraction form
   10,111.87/13,954.81 = 5,635.62/x
3. Step 3: Cross multiply
   10,111.87x = 13,954.81 × 5,635.62
4. Step 4: Simplify right side
   10,111.87x = 78,643,985.37
5. Step 5: Solve for x
   x = 78,643,985.37/10,111.87
6. Step 6: Final answer
   x = 7,777.39