Finding the Fourth Proportional to 5,680.80, 7,835.06 and 3,692.00

Step by Step Solution

1. Step 1: Write the proportion equation
   5,680.80 : 7,835.06 = 3,692.00 : x
2. Step 2: Convert to fraction form
   5,680.80/7,835.06 = 3,692.00/x
3. Step 3: Cross multiply
   5,680.80x = 7,835.06 × 3,692.00
4. Step 4: Simplify right side
   5,680.80x = 28,926,983.88
5. Step 5: Solve for x
   x = 28,926,983.88/5,680.80
6. Step 6: Final answer
   x = 5,092.06