Finding the Fourth Proportional to 7,878.50, 10,870.43 and 5,189.43

Step by Step Solution

1. Step 1: Write the proportion equation
   7,878.50 : 10,870.43 = 5,189.43 : x
2. Step 2: Convert to fraction form
   7,878.50/10,870.43 = 5,189.43/x
3. Step 3: Cross multiply
   7,878.50x = 10,870.43 × 5,189.43
4. Step 4: Simplify right side
   7,878.50x = 56,411,309.61
5. Step 5: Solve for x
   x = 56,411,309.61/7,878.50
6. Step 6: Final answer
   x = 7,160.16