Finding the Fourth Proportional to 2,159.82, 2,977.82 and 1,412.59

Step by Step Solution

1. Step 1: Write the proportion equation
   2,159.82 : 2,977.82 = 1,412.59 : x
2. Step 2: Convert to fraction form
   2,159.82/2,977.82 = 1,412.59/x
3. Step 3: Cross multiply
   2,159.82x = 2,977.82 × 1,412.59
4. Step 4: Simplify right side
   2,159.82x = 4,206,454.24
5. Step 5: Solve for x
   x = 4,206,454.24/2,159.82
6. Step 6: Final answer
   x = 1,947.60