Finding the Fourth Proportional to 14,546.58, 21,811.95 and 5,185.14

Step by Step Solution

1. Step 1: Write the proportion equation
   14,546.58 : 21,811.95 = 5,185.14 : x
2. Step 2: Convert to fraction form
   14,546.58/21,811.95 = 5,185.14/x
3. Step 3: Cross multiply
   14,546.58x = 21,811.95 × 5,185.14
4. Step 4: Simplify right side
   14,546.58x = 113,098,014.42
5. Step 5: Solve for x
   x = 113,098,014.42/14,546.58
6. Step 6: Final answer
   x = 7,774.89