Finding the Fourth Proportional to 10,598.38, 14,627.78 and 7,013.41

Step by Step Solution

1. Step 1: Write the proportion equation
   10,598.38 : 14,627.78 = 7,013.41 : x
2. Step 2: Convert to fraction form
   10,598.38/14,627.78 = 7,013.41/x
3. Step 3: Cross multiply
   10,598.38x = 14,627.78 × 7,013.41
4. Step 4: Simplify right side
   10,598.38x = 102,590,618.53
5. Step 5: Solve for x
   x = 102,590,618.53/10,598.38
6. Step 6: Final answer
   x = 9,679.84