Finding the Fourth Proportional to 1,019.60, 1,405.72 and 832.76

Step by Step Solution

1. Step 1: Write the proportion equation
   1,019.60 : 1,405.72 = 832.76 : x
2. Step 2: Convert to fraction form
   1,019.60/1,405.72 = 832.76/x
3. Step 3: Cross multiply
   1,019.60x = 1,405.72 × 832.76
4. Step 4: Simplify right side
   1,019.60x = 1,170,627.39
5. Step 5: Solve for x
   x = 1,170,627.39/1,019.60
6. Step 6: Final answer
   x = 1,148.12