Finding the Fourth Proportional to 1,419.32, 2,128.56 and 725.76

Step by Step Solution

1. Step 1: Write the proportion equation
   1,419.32 : 2,128.56 = 725.76 : x
2. Step 2: Convert to fraction form
   1,419.32/2,128.56 = 725.76/x
3. Step 3: Cross multiply
   1,419.32x = 2,128.56 × 725.76
4. Step 4: Simplify right side
   1,419.32x = 1,544,823.71
5. Step 5: Solve for x
   x = 1,544,823.71/1,419.32
6. Step 6: Final answer
   x = 1,088.43