Finding the Fourth Proportional to 1,381.53, 1,906.50 and 752.05

Step by Step Solution

1. Step 1: Write the proportion equation
   1,381.53 : 1,906.50 = 752.05 : x
2. Step 2: Convert to fraction form
   1,381.53/1,906.50 = 752.05/x
3. Step 3: Cross multiply
   1,381.53x = 1,906.50 × 752.05
4. Step 4: Simplify right side
   1,381.53x = 1,433,783.33
5. Step 5: Solve for x
   x = 1,433,783.33/1,381.53
6. Step 6: Final answer
   x = 1,037.82