Finding the Fourth Proportional to 1,978.14, 2,967.32 and 1,687.67

Step by Step Solution

1. Step 1: Write the proportion equation
   1,978.14 : 2,967.32 = 1,687.67 : x
2. Step 2: Convert to fraction form
   1,978.14/2,967.32 = 1,687.67/x
3. Step 3: Cross multiply
   1,978.14x = 2,967.32 × 1,687.67
4. Step 4: Simplify right side
   1,978.14x = 5,007,856.94
5. Step 5: Solve for x
   x = 5,007,856.94/1,978.14
6. Step 6: Final answer
   x = 2,531.60