Finding the Fourth Proportional to 1,321.86, 1,824.18 and 762.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,321.86 : 1,824.18 = 762.50 : x
2. Step 2: Convert to fraction form
   1,321.86/1,824.18 = 762.50/x
3. Step 3: Cross multiply
   1,321.86x = 1,824.18 × 762.50
4. Step 4: Simplify right side
   1,321.86x = 1,390,937.25
5. Step 5: Solve for x
   x = 1,390,937.25/1,321.86
6. Step 6: Final answer
   x = 1,052.26