Finding the Fourth Proportional to 10,111.37, 13,953.71 and 5,635.02

Step by Step Solution

1. Step 1: Write the proportion equation
   10,111.37 : 13,953.71 = 5,635.02 : x
2. Step 2: Convert to fraction form
   10,111.37/13,953.71 = 5,635.02/x
3. Step 3: Cross multiply
   10,111.37x = 13,953.71 × 5,635.02
4. Step 4: Simplify right side
   10,111.37x = 78,629,441.63
5. Step 5: Solve for x
   x = 78,629,441.63/10,111.37
6. Step 6: Final answer
   x = 7,776.34