Finding the Fourth Proportional to 2,788.58, 3,848.09 and 1,546.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,788.58 : 3,848.09 = 1,546.50 : x
2. Step 2: Convert to fraction form
   2,788.58/3,848.09 = 1,546.50/x
3. Step 3: Cross multiply
   2,788.58x = 3,848.09 × 1,546.50
4. Step 4: Simplify right side
   2,788.58x = 5,951,071.19
5. Step 5: Solve for x
   x = 5,951,071.19/2,788.58
6. Step 6: Final answer
   x = 2,134.09