Finding the Fourth Proportional to 14,657.98, 21,986.66 and 3,564.72

Step by Step Solution

1. Step 1: Write the proportion equation
   14,657.98 : 21,986.66 = 3,564.72 : x
2. Step 2: Convert to fraction form
   14,657.98/21,986.66 = 3,564.72/x
3. Step 3: Cross multiply
   14,657.98x = 21,986.66 × 3,564.72
4. Step 4: Simplify right side
   14,657.98x = 78,376,323.78
5. Step 5: Solve for x
   x = 78,376,323.78/14,657.98
6. Step 6: Final answer
   x = 5,347.01