Finding the Fourth Proportional to 10,111.80, 13,954.72 and 5,635.56

Step by Step Solution

1. Step 1: Write the proportion equation
   10,111.80 : 13,954.72 = 5,635.56 : x
2. Step 2: Convert to fraction form
   10,111.80/13,954.72 = 5,635.56/x
3. Step 3: Cross multiply
   10,111.80x = 13,954.72 × 5,635.56
4. Step 4: Simplify right side
   10,111.80x = 78,642,627.09
5. Step 5: Solve for x
   x = 78,642,627.09/10,111.80
6. Step 6: Final answer
   x = 7,777.31