Finding the Fourth Proportional to 10,278.54, 14,184.38 and 5,562.82

Step by Step Solution

1. Step 1: Write the proportion equation
   10,278.54 : 14,184.38 = 5,562.82 : x
2. Step 2: Convert to fraction form
   10,278.54/14,184.38 = 5,562.82/x
3. Step 3: Cross multiply
   10,278.54x = 14,184.38 × 5,562.82
4. Step 4: Simplify right side
   10,278.54x = 78,905,131.20
5. Step 5: Solve for x
   x = 78,905,131.20/10,278.54
6. Step 6: Final answer
   x = 7,676.69