Finding the Fourth Proportional to 3,787.40, 5,678.00 and 1,706.78

Step by Step Solution

1. Step 1: Write the proportion equation
   3,787.40 : 5,678.00 = 1,706.78 : x
2. Step 2: Convert to fraction form
   3,787.40/5,678.00 = 1,706.78/x
3. Step 3: Cross multiply
   3,787.40x = 5,678.00 × 1,706.78
4. Step 4: Simplify right side
   3,787.40x = 9,691,088.31
5. Step 5: Solve for x
   x = 9,691,088.31/3,787.40
6. Step 6: Final answer
   x = 2,558.77