Finding the Fourth Proportional to 10,274.16, 14,178.24 and 5,558.34

Step by Step Solution

1. Step 1: Write the proportion equation
   10,274.16 : 14,178.24 = 5,558.34 : x
2. Step 2: Convert to fraction form
   10,274.16/14,178.24 = 5,558.34/x
3. Step 3: Cross multiply
   10,274.16x = 14,178.24 × 5,558.34
4. Step 4: Simplify right side
   10,274.16x = 78,807,478.52
5. Step 5: Solve for x
   x = 78,807,478.52/10,274.16
6. Step 6: Final answer
   x = 7,670.45