Finding the Fourth Proportional to 10,114.31, 13,958.18 and 5,638.06

Step by Step Solution

1. Step 1: Write the proportion equation
   10,114.31 : 13,958.18 = 5,638.06 : x
2. Step 2: Convert to fraction form
   10,114.31/13,958.18 = 5,638.06/x
3. Step 3: Cross multiply
   10,114.31x = 13,958.18 × 5,638.06
4. Step 4: Simplify right side
   10,114.31x = 78,697,056.33
5. Step 5: Solve for x
   x = 78,697,056.33/10,114.31
6. Step 6: Final answer
   x = 7,780.76