Finding the Fourth Proportional to 9,959.57, 14,940.12 and 2,564.10

Step by Step Solution

1. Step 1: Write the proportion equation
   9,959.57 : 14,940.12 = 2,564.10 : x
2. Step 2: Convert to fraction form
   9,959.57/14,940.12 = 2,564.10/x
3. Step 3: Cross multiply
   9,959.57x = 14,940.12 × 2,564.10
4. Step 4: Simplify right side
   9,959.57x = 38,307,961.69
5. Step 5: Solve for x
   x = 38,307,961.69/9,959.57
6. Step 6: Final answer
   x = 3,846.35