Finding the Fourth Proportional to 7,878.16, 10,864.28 and 5,184.56

Step by Step Solution

1. Step 1: Write the proportion equation
   7,878.16 : 10,864.28 = 5,184.56 : x
2. Step 2: Convert to fraction form
   7,878.16/10,864.28 = 5,184.56/x
3. Step 3: Cross multiply
   7,878.16x = 10,864.28 × 5,184.56
4. Step 4: Simplify right side
   7,878.16x = 56,326,511.52
5. Step 5: Solve for x
   x = 56,326,511.52/7,878.16
6. Step 6: Final answer
   x = 7,149.70