Finding the Fourth Proportional to 3,538.68, 5,307.89 and 906.20

Step by Step Solution

1. Step 1: Write the proportion equation
   3,538.68 : 5,307.89 = 906.20 : x
2. Step 2: Convert to fraction form
   3,538.68/5,307.89 = 906.20/x
3. Step 3: Cross multiply
   3,538.68x = 5,307.89 × 906.20
4. Step 4: Simplify right side
   3,538.68x = 4,810,025.45
5. Step 5: Solve for x
   x = 4,810,025.45/3,538.68
6. Step 6: Final answer
   x = 1,359.27