Finding the Fourth Proportional to 2,514, 3,770.12 and 1,032.80

Step by Step Solution

1. Step 1: Write the proportion equation
   2,514 : 3,770.12 = 1,032.80 : x
2. Step 2: Convert to fraction form
   2,514/3,770.12 = 1,032.80/x
3. Step 3: Cross multiply
   2,514x = 3,770.12 × 1,032.80
4. Step 4: Simplify right side
   2,514x = 3,893,779.94
5. Step 5: Solve for x
   x = 3,893,779.94/2,514
6. Step 6: Final answer
   x = 1,548.84