Finding the Fourth Proportional to 9,085.73, 12,538.23 and 5,106.80

Step by Step Solution

1. Step 1: Write the proportion equation
   9,085.73 : 12,538.23 = 5,106.80 : x
2. Step 2: Convert to fraction form
   9,085.73/12,538.23 = 5,106.80/x
3. Step 3: Cross multiply
   9,085.73x = 12,538.23 × 5,106.80
4. Step 4: Simplify right side
   9,085.73x = 64,030,170.27
5. Step 5: Solve for x
   x = 64,030,170.27/9,085.73
6. Step 6: Final answer
   x = 7,047.34