Finding the Fourth Proportional to 1,546.67, 2,314.20 and 919.67

Step by Step Solution

1. Step 1: Write the proportion equation
   1,546.67 : 2,314.20 = 919.67 : x
2. Step 2: Convert to fraction form
   1,546.67/2,314.20 = 919.67/x
3. Step 3: Cross multiply
   1,546.67x = 2,314.20 × 919.67
4. Step 4: Simplify right side
   1,546.67x = 2,128,300.31
5. Step 5: Solve for x
   x = 2,128,300.31/1,546.67
6. Step 6: Final answer
   x = 1,376.05