Finding the Fourth Proportional to 10,274.37, 14,178.64 and 5,558.65

Step by Step Solution

1. Step 1: Write the proportion equation
   10,274.37 : 14,178.64 = 5,558.65 : x
2. Step 2: Convert to fraction form
   10,274.37/14,178.64 = 5,558.65/x
3. Step 3: Cross multiply
   10,274.37x = 14,178.64 × 5,558.65
4. Step 4: Simplify right side
   10,274.37x = 78,814,026.34
5. Step 5: Solve for x
   x = 78,814,026.34/10,274.37
6. Step 6: Final answer
   x = 7,670.94