Finding the Fourth Proportional to 1,432.74, 1,964.31 and 1,406.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,432.74 : 1,964.31 = 1,406.82 : x
2. Step 2: Convert to fraction form
   1,432.74/1,964.31 = 1,406.82/x
3. Step 3: Cross multiply
   1,432.74x = 1,964.31 × 1,406.82
4. Step 4: Simplify right side
   1,432.74x = 2,763,423.56
5. Step 5: Solve for x
   x = 2,763,423.56/1,432.74
6. Step 6: Final answer
   x = 1,928.77