Finding the Fourth Proportional to 1,415.77, 2,123.82 and 684.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,415.77 : 2,123.82 = 684.82 : x
2. Step 2: Convert to fraction form
   1,415.77/2,123.82 = 684.82/x
3. Step 3: Cross multiply
   1,415.77x = 2,123.82 × 684.82
4. Step 4: Simplify right side
   1,415.77x = 1,454,420.37
5. Step 5: Solve for x
   x = 1,454,420.37/1,415.77
6. Step 6: Final answer
   x = 1,027.30