Finding the Fourth Proportional to 9,086.08, 12,538.90 and 5,106.96

Step by Step Solution

1. Step 1: Write the proportion equation
   9,086.08 : 12,538.90 = 5,106.96 : x
2. Step 2: Convert to fraction form
   9,086.08/12,538.90 = 5,106.96/x
3. Step 3: Cross multiply
   9,086.08x = 12,538.90 × 5,106.96
4. Step 4: Simplify right side
   9,086.08x = 64,035,660.74
5. Step 5: Solve for x
   x = 64,035,660.74/9,086.08
6. Step 6: Final answer
   x = 7,047.67