Finding the Fourth Proportional to 2,784.25, 3,842.31 and 1,542.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,784.25 : 3,842.31 = 1,542.25 : x
2. Step 2: Convert to fraction form
   2,784.25/3,842.31 = 1,542.25/x
3. Step 3: Cross multiply
   2,784.25x = 3,842.31 × 1,542.25
4. Step 4: Simplify right side
   2,784.25x = 5,925,802.60
5. Step 5: Solve for x
   x = 5,925,802.60/2,784.25
6. Step 6: Final answer
   x = 2,128.33