Finding the Fourth Proportional to 1,309.81, 1,962.69 and 762.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,309.81 : 1,962.69 = 762.25 : x
2. Step 2: Convert to fraction form
   1,309.81/1,962.69 = 762.25/x
3. Step 3: Cross multiply
   1,309.81x = 1,962.69 × 762.25
4. Step 4: Simplify right side
   1,309.81x = 1,496,060.45
5. Step 5: Solve for x
   x = 1,496,060.45/1,309.81
6. Step 6: Final answer
   x = 1,142.20