Finding the Fourth Proportional to 5,494.47, 7,585.83 and 3,815.34

Step by Step Solution

1. Step 1: Write the proportion equation
   5,494.47 : 7,585.83 = 3,815.34 : x
2. Step 2: Convert to fraction form
   5,494.47/7,585.83 = 3,815.34/x
3. Step 3: Cross multiply
   5,494.47x = 7,585.83 × 3,815.34
4. Step 4: Simplify right side
   5,494.47x = 28,942,520.63
5. Step 5: Solve for x
   x = 28,942,520.63/5,494.47
6. Step 6: Final answer
   x = 5,267.57