Finding the Fourth Proportional to 5,536.56, 7,638.16 and 3,546.68

Step by Step Solution

1. Step 1: Write the proportion equation
   5,536.56 : 7,638.16 = 3,546.68 : x
2. Step 2: Convert to fraction form
   5,536.56/7,638.16 = 3,546.68/x
3. Step 3: Cross multiply
   5,536.56x = 7,638.16 × 3,546.68
4. Step 4: Simplify right side
   5,536.56x = 27,090,109.31
5. Step 5: Solve for x
   x = 27,090,109.31/5,536.56
6. Step 6: Final answer
   x = 4,892.95