Finding the Fourth Proportional to 7,870.17, 10,872.77 and 5,877.29

Step by Step Solution

1. Step 1: Write the proportion equation
   7,870.17 : 10,872.77 = 5,877.29 : x
2. Step 2: Convert to fraction form
   7,870.17/10,872.77 = 5,877.29/x
3. Step 3: Cross multiply
   7,870.17x = 10,872.77 × 5,877.29
4. Step 4: Simplify right side
   7,870.17x = 63,902,338.64
5. Step 5: Solve for x
   x = 63,902,338.64/7,870.17
6. Step 6: Final answer
   x = 8,119.56