Finding the Fourth Proportional to 3,688.84, 5,090.34 and 2,645.56

Step by Step Solution

1. Step 1: Write the proportion equation
   3,688.84 : 5,090.34 = 2,645.56 : x
2. Step 2: Convert to fraction form
   3,688.84/5,090.34 = 2,645.56/x
3. Step 3: Cross multiply
   3,688.84x = 5,090.34 × 2,645.56
4. Step 4: Simplify right side
   3,688.84x = 13,466,799.89
5. Step 5: Solve for x
   x = 13,466,799.89/3,688.84
6. Step 6: Final answer
   x = 3,650.69