Finding the Fourth Proportional to 6,870.07, 10,276.89 and 5,486.12

Step by Step Solution

1. Step 1: Write the proportion equation
   6,870.07 : 10,276.89 = 5,486.12 : x
2. Step 2: Convert to fraction form
   6,870.07/10,276.89 = 5,486.12/x
3. Step 3: Cross multiply
   6,870.07x = 10,276.89 × 5,486.12
4. Step 4: Simplify right side
   6,870.07x = 56,380,251.77
5. Step 5: Solve for x
   x = 56,380,251.77/6,870.07
6. Step 6: Final answer
   x = 8,206.65