Finding the Fourth Proportional to 9,679.83, 14,518.01 and 2,564.12

Step by Step Solution

1. Step 1: Write the proportion equation
   9,679.83 : 14,518.01 = 2,564.12 : x
2. Step 2: Convert to fraction form
   9,679.83/14,518.01 = 2,564.12/x
3. Step 3: Cross multiply
   9,679.83x = 14,518.01 × 2,564.12
4. Step 4: Simplify right side
   9,679.83x = 37,225,847.21
5. Step 5: Solve for x
   x = 37,225,847.21/9,679.83
6. Step 6: Final answer
   x = 3,845.71