Finding the Fourth Proportional to 1,645.92, 2,272.59 and 1,056.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,645.92 : 2,272.59 = 1,056.78 : x
2. Step 2: Convert to fraction form
   1,645.92/2,272.59 = 1,056.78/x
3. Step 3: Cross multiply
   1,645.92x = 2,272.59 × 1,056.78
4. Step 4: Simplify right side
   1,645.92x = 2,401,627.66
5. Step 5: Solve for x
   x = 2,401,627.66/1,645.92
6. Step 6: Final answer
   x = 1,459.14