Finding the Fourth Proportional to 1,321.59, 1,823.78 and 762.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,321.59 : 1,823.78 = 762.06 : x
2. Step 2: Convert to fraction form
   1,321.59/1,823.78 = 762.06/x
3. Step 3: Cross multiply
   1,321.59x = 1,823.78 × 762.06
4. Step 4: Simplify right side
   1,321.59x = 1,389,825.98
5. Step 5: Solve for x
   x = 1,389,825.98/1,321.59
6. Step 6: Final answer
   x = 1,051.63