Finding the Fourth Proportional to 1,152.82, 1,591.48 and 781.76

Step by Step Solution

1. Step 1: Write the proportion equation
   1,152.82 : 1,591.48 = 781.76 : x
2. Step 2: Convert to fraction form
   1,152.82/1,591.48 = 781.76/x
3. Step 3: Cross multiply
   1,152.82x = 1,591.48 × 781.76
4. Step 4: Simplify right side
   1,152.82x = 1,244,155.40
5. Step 5: Solve for x
   x = 1,244,155.40/1,152.82
6. Step 6: Final answer
   x = 1,079.23