Finding the Fourth Proportional to 10,278.42, 14,184.23 and 5,562.70

Step by Step Solution

1. Step 1: Write the proportion equation
   10,278.42 : 14,184.23 = 5,562.70 : x
2. Step 2: Convert to fraction form
   10,278.42/14,184.23 = 5,562.70/x
3. Step 3: Cross multiply
   10,278.42x = 14,184.23 × 5,562.70
4. Step 4: Simplify right side
   10,278.42x = 78,902,616.22
5. Step 5: Solve for x
   x = 78,902,616.22/10,278.42
6. Step 6: Final answer
   x = 7,676.53