Finding the Fourth Proportional to 6,978.78, 10,473.44 and 3,692.61

Step by Step Solution

1. Step 1: Write the proportion equation
   6,978.78 : 10,473.44 = 3,692.61 : x
2. Step 2: Convert to fraction form
   6,978.78/10,473.44 = 3,692.61/x
3. Step 3: Cross multiply
   6,978.78x = 10,473.44 × 3,692.61
4. Step 4: Simplify right side
   6,978.78x = 38,674,310.82
5. Step 5: Solve for x
   x = 38,674,310.82/6,978.78
6. Step 6: Final answer
   x = 5,541.70