Finding the Fourth Proportional to 8,429.00, 12,642.89 and 2,585.25

Step by Step Solution

1. Step 1: Write the proportion equation
   8,429.00 : 12,642.89 = 2,585.25 : x
2. Step 2: Convert to fraction form
   8,429.00/12,642.89 = 2,585.25/x
3. Step 3: Cross multiply
   8,429.00x = 12,642.89 × 2,585.25
4. Step 4: Simplify right side
   8,429.00x = 32,685,018.45
5. Step 5: Solve for x
   x = 32,685,018.45/8,429.00
6. Step 6: Final answer
   x = 3,877.69