Finding the Fourth Proportional to 9,085.45, 12,538.04 and 5,106.33

Step by Step Solution

1. Step 1: Write the proportion equation
   9,085.45 : 12,538.04 = 5,106.33 : x
2. Step 2: Convert to fraction form
   9,085.45/12,538.04 = 5,106.33/x
3. Step 3: Cross multiply
   9,085.45x = 12,538.04 × 5,106.33
4. Step 4: Simplify right side
   9,085.45x = 64,023,369.79
5. Step 5: Solve for x
   x = 64,023,369.79/9,085.45
6. Step 6: Final answer
   x = 7,046.80