Finding the Fourth Proportional to 10,274.02, 14,178.17 and 5,558.30

Step by Step Solution

1. Step 1: Write the proportion equation
   10,274.02 : 14,178.17 = 5,558.30 : x
2. Step 2: Convert to fraction form
   10,274.02/14,178.17 = 5,558.30/x
3. Step 3: Cross multiply
   10,274.02x = 14,178.17 × 5,558.30
4. Step 4: Simplify right side
   10,274.02x = 78,806,522.31
5. Step 5: Solve for x
   x = 78,806,522.31/10,274.02
6. Step 6: Final answer
   x = 7,670.47