Finding the Fourth Proportional to 9,085.95, 12,538.73 and 5,106.83

Step by Step Solution

1. Step 1: Write the proportion equation
   9,085.95 : 12,538.73 = 5,106.83 : x
2. Step 2: Convert to fraction form
   9,085.95/12,538.73 = 5,106.83/x
3. Step 3: Cross multiply
   9,085.95x = 12,538.73 × 5,106.83
4. Step 4: Simplify right side
   9,085.95x = 64,033,112.60
5. Step 5: Solve for x
   x = 64,033,112.60/9,085.95
6. Step 6: Final answer
   x = 7,047.49