Finding the Fourth Proportional to 3,688.08, 5,492.34 and 3,666.96

Step by Step Solution

1. Step 1: Write the proportion equation
   3,688.08 : 5,492.34 = 3,666.96 : x
2. Step 2: Convert to fraction form
   3,688.08/5,492.34 = 3,666.96/x
3. Step 3: Cross multiply
   3,688.08x = 5,492.34 × 3,666.96
4. Step 4: Simplify right side
   3,688.08x = 20,140,191.09
5. Step 5: Solve for x
   x = 20,140,191.09/3,688.08
6. Step 6: Final answer
   x = 5,460.89