Finding the Fourth Proportional to 6,897.54, 10,337.82 and 3,194.76

Step by Step Solution

1. Step 1: Write the proportion equation
   6,897.54 : 10,337.82 = 3,194.76 : x
2. Step 2: Convert to fraction form
   6,897.54/10,337.82 = 3,194.76/x
3. Step 3: Cross multiply
   6,897.54x = 10,337.82 × 3,194.76
4. Step 4: Simplify right side
   6,897.54x = 33,026,853.82
5. Step 5: Solve for x
   x = 33,026,853.82/6,897.54
6. Step 6: Final answer
   x = 4,788.21