Finding the Fourth Proportional to 2,825.00, 3,898.69 and 1,566.17

Step by Step Solution

1. Step 1: Write the proportion equation
   2,825.00 : 3,898.69 = 1,566.17 : x
2. Step 2: Convert to fraction form
   2,825.00/3,898.69 = 1,566.17/x
3. Step 3: Cross multiply
   2,825.00x = 3,898.69 × 1,566.17
4. Step 4: Simplify right side
   2,825.00x = 6,106,005.29
5. Step 5: Solve for x
   x = 6,106,005.29/2,825.00
6. Step 6: Final answer
   x = 2,161.42