Finding the Fourth Proportional to 1,896.32, 2,841.35 and 1,164.34

Step by Step Solution

1. Step 1: Write the proportion equation
   1,896.32 : 2,841.35 = 1,164.34 : x
2. Step 2: Convert to fraction form
   1,896.32/2,841.35 = 1,164.34/x
3. Step 3: Cross multiply
   1,896.32x = 2,841.35 × 1,164.34
4. Step 4: Simplify right side
   1,896.32x = 3,308,297.46
5. Step 5: Solve for x
   x = 3,308,297.46/1,896.32
6. Step 6: Final answer
   x = 1,744.59