Finding the Fourth Proportional to 5,886.60, 8,123.10 and 3,648.42

Step by Step Solution

1. Step 1: Write the proportion equation
   5,886.60 : 8,123.10 = 3,648.42 : x
2. Step 2: Convert to fraction form
   5,886.60/8,123.10 = 3,648.42/x
3. Step 3: Cross multiply
   5,886.60x = 8,123.10 × 3,648.42
4. Step 4: Simplify right side
   5,886.60x = 29,636,480.50
5. Step 5: Solve for x
   x = 29,636,480.50/5,886.60
6. Step 6: Final answer
   x = 5,034.57