Finding the Fourth Proportional to 9,085.50, 12,538.22 and 5,106.82

Step by Step Solution

1. Step 1: Write the proportion equation
   9,085.50 : 12,538.22 = 5,106.82 : x
2. Step 2: Convert to fraction form
   9,085.50/12,538.22 = 5,106.82/x
3. Step 3: Cross multiply
   9,085.50x = 12,538.22 × 5,106.82
4. Step 4: Simplify right side
   9,085.50x = 64,030,432.66
5. Step 5: Solve for x
   x = 64,030,432.66/9,085.50
6. Step 6: Final answer
   x = 7,047.54