Finding the Fourth Proportional to 3,538.10, 5,302.13 and 2,606.33

Step by Step Solution

1. Step 1: Write the proportion equation
   3,538.10 : 5,302.13 = 2,606.33 : x
2. Step 2: Convert to fraction form
   3,538.10/5,302.13 = 2,606.33/x
3. Step 3: Cross multiply
   3,538.10x = 5,302.13 × 2,606.33
4. Step 4: Simplify right side
   3,538.10x = 13,819,100.71
5. Step 5: Solve for x
   x = 13,819,100.71/3,538.10
6. Step 6: Final answer
   x = 3,905.79