Finding the Fourth Proportional to 1,462.76, 2,019.34 and 841.64

Step by Step Solution

1. Step 1: Write the proportion equation
   1,462.76 : 2,019.34 = 841.64 : x
2. Step 2: Convert to fraction form
   1,462.76/2,019.34 = 841.64/x
3. Step 3: Cross multiply
   1,462.76x = 2,019.34 × 841.64
4. Step 4: Simplify right side
   1,462.76x = 1,699,557.32
5. Step 5: Solve for x
   x = 1,699,557.32/1,462.76
6. Step 6: Final answer
   x = 1,161.88