Finding the Fourth Proportional to 10,274.50, 14,178.76 and 5,558.68

Step by Step Solution

1. Step 1: Write the proportion equation
   10,274.50 : 14,178.76 = 5,558.68 : x
2. Step 2: Convert to fraction form
   10,274.50/14,178.76 = 5,558.68/x
3. Step 3: Cross multiply
   10,274.50x = 14,178.76 × 5,558.68
4. Step 4: Simplify right side
   10,274.50x = 78,815,189.64
5. Step 5: Solve for x
   x = 78,815,189.64/10,274.50
6. Step 6: Final answer
   x = 7,670.95