Finding the Fourth Proportional to 10,314, 14,233.29 and 5,598.30

Step by Step Solution

1. Step 1: Write the proportion equation
   10,314 : 14,233.29 = 5,598.30 : x
2. Step 2: Convert to fraction form
   10,314/14,233.29 = 5,598.30/x
3. Step 3: Cross multiply
   10,314x = 14,233.29 × 5,598.30
4. Step 4: Simplify right side
   10,314x = 79,682,227.41
5. Step 5: Solve for x
   x = 79,682,227.41/10,314
6. Step 6: Final answer
   x = 7,725.64