Finding the Fourth Proportional to 1,646.50, 2,272.17 and 1,025.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,646.50 : 2,272.17 = 1,025.86 : x
2. Step 2: Convert to fraction form
   1,646.50/2,272.17 = 1,025.86/x
3. Step 3: Cross multiply
   1,646.50x = 2,272.17 × 1,025.86
4. Step 4: Simplify right side
   1,646.50x = 2,330,928.32
5. Step 5: Solve for x
   x = 2,330,928.32/1,646.50
6. Step 6: Final answer
   x = 1,415.69