Finding the Fourth Proportional to 10,114.56, 13,958.16 and 5,922.84

Step by Step Solution

1. Step 1: Write the proportion equation
   10,114.56 : 13,958.16 = 5,922.84 : x
2. Step 2: Convert to fraction form
   10,114.56/13,958.16 = 5,922.84/x
3. Step 3: Cross multiply
   10,114.56x = 13,958.16 × 5,922.84
4. Step 4: Simplify right side
   10,114.56x = 82,671,948.37
5. Step 5: Solve for x
   x = 82,671,948.37/10,114.56
6. Step 6: Final answer
   x = 8,173.56