Finding the Fourth Proportional to 3,656.84, 5,485.31 and 1,059.78

Step by Step Solution

1. Step 1: Write the proportion equation
   3,656.84 : 5,485.31 = 1,059.78 : x
2. Step 2: Convert to fraction form
   3,656.84/5,485.31 = 1,059.78/x
3. Step 3: Cross multiply
   3,656.84x = 5,485.31 × 1,059.78
4. Step 4: Simplify right side
   3,656.84x = 5,813,221.83
5. Step 5: Solve for x
   x = 5,813,221.83/3,656.84
6. Step 6: Final answer
   x = 1,589.68