Finding the Fourth Proportional to 2,546.28, 3,819.54 and 792.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,546.28 : 3,819.54 = 792.50 : x
2. Step 2: Convert to fraction form
   2,546.28/3,819.54 = 792.50/x
3. Step 3: Cross multiply
   2,546.28x = 3,819.54 × 792.50
4. Step 4: Simplify right side
   2,546.28x = 3,026,966.35
5. Step 5: Solve for x
   x = 3,026,966.35/2,546.28
6. Step 6: Final answer
   x = 1,188.78