Finding the Fourth Proportional to 1,932.56, 2,896.86 and 762.09

Step by Step Solution

1. Step 1: Write the proportion equation
   1,932.56 : 2,896.86 = 762.09 : x
2. Step 2: Convert to fraction form
   1,932.56/2,896.86 = 762.09/x
3. Step 3: Cross multiply
   1,932.56x = 2,896.86 × 762.09
4. Step 4: Simplify right side
   1,932.56x = 2,207,668.04
5. Step 5: Solve for x
   x = 2,207,668.04/1,932.56
6. Step 6: Final answer
   x = 1,142.35