Finding the Fourth Proportional to 8,409.06, 12,612.51 and 2,564.10

Step by Step Solution

1. Step 1: Write the proportion equation
   8,409.06 : 12,612.51 = 2,564.10 : x
2. Step 2: Convert to fraction form
   8,409.06/12,612.51 = 2,564.10/x
3. Step 3: Cross multiply
   8,409.06x = 12,612.51 × 2,564.10
4. Step 4: Simplify right side
   8,409.06x = 32,339,736.89
5. Step 5: Solve for x
   x = 32,339,736.89/8,409.06
6. Step 6: Final answer
   x = 3,845.82