Finding the Fourth Proportional to 10,111.58, 13,955.11 and 5,635.74

Step by Step Solution

1. Step 1: Write the proportion equation
   10,111.58 : 13,955.11 = 5,635.74 : x
2. Step 2: Convert to fraction form
   10,111.58/13,955.11 = 5,635.74/x
3. Step 3: Cross multiply
   10,111.58x = 13,955.11 × 5,635.74
4. Step 4: Simplify right side
   10,111.58x = 78,647,371.63
5. Step 5: Solve for x
   x = 78,647,371.63/10,111.58
6. Step 6: Final answer
   x = 7,777.95