Finding the Fourth Proportional to 5,538.06, 8,309.52 and 3,809.52

Step by Step Solution

1. Step 1: Write the proportion equation
   5,538.06 : 8,309.52 = 3,809.52 : x
2. Step 2: Convert to fraction form
   5,538.06/8,309.52 = 3,809.52/x
3. Step 3: Cross multiply
   5,538.06x = 8,309.52 × 3,809.52
4. Step 4: Simplify right side
   5,538.06x = 31,655,282.63
5. Step 5: Solve for x
   x = 31,655,282.63/5,538.06
6. Step 6: Final answer
   x = 5,715.95