Finding the Fourth Proportional to 7,878.42, 10,872.12 and 5,870.82

Step by Step Solution

1. Step 1: Write the proportion equation
   7,878.42 : 10,872.12 = 5,870.82 : x
2. Step 2: Convert to fraction form
   7,878.42/10,872.12 = 5,870.82/x
3. Step 3: Cross multiply
   7,878.42x = 10,872.12 × 5,870.82
4. Step 4: Simplify right side
   7,878.42x = 63,828,259.54
5. Step 5: Solve for x
   x = 63,828,259.54/7,878.42
6. Step 6: Final answer
   x = 8,101.66