Finding the Fourth Proportional to 10,274.34, 14,178.59 and 5,558.63

Step by Step Solution

1. Step 1: Write the proportion equation
   10,274.34 : 14,178.59 = 5,558.63 : x
2. Step 2: Convert to fraction form
   10,274.34/14,178.59 = 5,558.63/x
3. Step 3: Cross multiply
   10,274.34x = 14,178.59 × 5,558.63
4. Step 4: Simplify right side
   10,274.34x = 78,813,489.16
5. Step 5: Solve for x
   x = 78,813,489.16/10,274.34
6. Step 6: Final answer
   x = 7,670.90