Finding the Fourth Proportional to 14,561.37, 21,848.54 and 7,634.25

Step by Step Solution

1. Step 1: Write the proportion equation
   14,561.37 : 21,848.54 = 7,634.25 : x
2. Step 2: Convert to fraction form
   14,561.37/21,848.54 = 7,634.25/x
3. Step 3: Cross multiply
   14,561.37x = 21,848.54 × 7,634.25
4. Step 4: Simplify right side
   14,561.37x = 166,797,178.32
5. Step 5: Solve for x
   x = 166,797,178.32/14,561.37
6. Step 6: Final answer
   x = 11,454.77