Finding the Fourth Proportional to 1,321.35, 1,823.49 and 762

Step by Step Solution

1. Step 1: Write the proportion equation
   1,321.35 : 1,823.49 = 762 : x
2. Step 2: Convert to fraction form
   1,321.35/1,823.49 = 762/x
3. Step 3: Cross multiply
   1,321.35x = 1,823.49 × 762
4. Step 4: Simplify right side
   1,321.35x = 1,389,499.38
5. Step 5: Solve for x
   x = 1,389,499.38/1,321.35
6. Step 6: Final answer
   x = 1,051.58