Finding the Fourth Proportional to 1,411.31, 1,947.68 and 851.77

Step by Step Solution

1. Step 1: Write the proportion equation
   1,411.31 : 1,947.68 = 851.77 : x
2. Step 2: Convert to fraction form
   1,411.31/1,947.68 = 851.77/x
3. Step 3: Cross multiply
   1,411.31x = 1,947.68 × 851.77
4. Step 4: Simplify right side
   1,411.31x = 1,658,976.76
5. Step 5: Solve for x
   x = 1,658,976.76/1,411.31
6. Step 6: Final answer
   x = 1,175.49