Finding the Fourth Proportional to 2,427.60, 3,642.72 and 1,042.32

Step by Step Solution

1. Step 1: Write the proportion equation
   2,427.60 : 3,642.72 = 1,042.32 : x
2. Step 2: Convert to fraction form
   2,427.60/3,642.72 = 1,042.32/x
3. Step 3: Cross multiply
   2,427.60x = 3,642.72 × 1,042.32
4. Step 4: Simplify right side
   2,427.60x = 3,796,879.91
5. Step 5: Solve for x
   x = 3,796,879.91/2,427.60
6. Step 6: Final answer
   x = 1,564.05