Finding the Fourth Proportional to 2,785.34, 3,842.88 and 1,606.16

Step by Step Solution

1. Step 1: Write the proportion equation
   2,785.34 : 3,842.88 = 1,606.16 : x
2. Step 2: Convert to fraction form
   2,785.34/3,842.88 = 1,606.16/x
3. Step 3: Cross multiply
   2,785.34x = 3,842.88 × 1,606.16
4. Step 4: Simplify right side
   2,785.34x = 6,172,280.14
5. Step 5: Solve for x
   x = 6,172,280.14/2,785.34
6. Step 6: Final answer
   x = 2,215.99