Finding the Fourth Proportional to 1,381.61, 1,906.61 and 752.14

Step by Step Solution

1. Step 1: Write the proportion equation
   1,381.61 : 1,906.61 = 752.14 : x
2. Step 2: Convert to fraction form
   1,381.61/1,906.61 = 752.14/x
3. Step 3: Cross multiply
   1,381.61x = 1,906.61 × 752.14
4. Step 4: Simplify right side
   1,381.61x = 1,434,031.89
5. Step 5: Solve for x
   x = 1,434,031.89/1,381.61
6. Step 6: Final answer
   x = 1,037.94