Finding the Fourth Proportional to 1,337.68, 1,846.02 and 762.81

Step by Step Solution

1. Step 1: Write the proportion equation
   1,337.68 : 1,846.02 = 762.81 : x
2. Step 2: Convert to fraction form
   1,337.68/1,846.02 = 762.81/x
3. Step 3: Cross multiply
   1,337.68x = 1,846.02 × 762.81
4. Step 4: Simplify right side
   1,337.68x = 1,408,162.52
5. Step 5: Solve for x
   x = 1,408,162.52/1,337.68
6. Step 6: Final answer
   x = 1,052.69