Finding the Fourth Proportional to 12,841.94, 19,258.05 and 5,046.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,841.94 : 19,258.05 = 5,046.50 : x
2. Step 2: Convert to fraction form
   12,841.94/19,258.05 = 5,046.50/x
3. Step 3: Cross multiply
   12,841.94x = 19,258.05 × 5,046.50
4. Step 4: Simplify right side
   12,841.94x = 97,185,749.33
5. Step 5: Solve for x
   x = 97,185,749.33/12,841.94
6. Step 6: Final answer
   x = 7,567.84