Finding the Fourth Proportional to 9,942.58, 14,913.78 and 2,546.98

Step by Step Solution

1. Step 1: Write the proportion equation
   9,942.58 : 14,913.78 = 2,546.98 : x
2. Step 2: Convert to fraction form
   9,942.58/14,913.78 = 2,546.98/x
3. Step 3: Cross multiply
   9,942.58x = 14,913.78 × 2,546.98
4. Step 4: Simplify right side
   9,942.58x = 37,985,099.38
5. Step 5: Solve for x
   x = 37,985,099.38/9,942.58
6. Step 6: Final answer
   x = 3,820.45