Finding the Fourth Proportional to 3,692.61, 5,502.92 and 3,586.00

Step by Step Solution

1. Step 1: Write the proportion equation
   3,692.61 : 5,502.92 = 3,586.00 : x
2. Step 2: Convert to fraction form
   3,692.61/5,502.92 = 3,586.00/x
3. Step 3: Cross multiply
   3,692.61x = 5,502.92 × 3,586.00
4. Step 4: Simplify right side
   3,692.61x = 19,733,469.57
5. Step 5: Solve for x
   x = 19,733,469.57/3,692.61
6. Step 6: Final answer
   x = 5,344.04