Finding the Fourth Proportional to 1,805.76, 2,493.72 and 1,542.24

Step by Step Solution

1. Step 1: Write the proportion equation
   1,805.76 : 2,493.72 = 1,542.24 : x
2. Step 2: Convert to fraction form
   1,805.76/2,493.72 = 1,542.24/x
3. Step 3: Cross multiply
   1,805.76x = 2,493.72 × 1,542.24
4. Step 4: Simplify right side
   1,805.76x = 3,845,914.73
5. Step 5: Solve for x
   x = 3,845,914.73/1,805.76
6. Step 6: Final answer
   x = 2,129.80