Finding the Fourth Proportional to 14,546.52, 21,824.15 and 5,185.32

Step by Step Solution

1. Step 1: Write the proportion equation
   14,546.52 : 21,824.15 = 5,185.32 : x
2. Step 2: Convert to fraction form
   14,546.52/21,824.15 = 5,185.32/x
3. Step 3: Cross multiply
   14,546.52x = 21,824.15 × 5,185.32
4. Step 4: Simplify right side
   14,546.52x = 113,165,201.48
5. Step 5: Solve for x
   x = 113,165,201.48/14,546.52
6. Step 6: Final answer
   x = 7,779.54