Finding the Fourth Proportional to 10,494.56, 14,498.40 and 7,837.38

Step by Step Solution

1. Step 1: Write the proportion equation
   10,494.56 : 14,498.40 = 7,837.38 : x
2. Step 2: Convert to fraction form
   10,494.56/14,498.40 = 7,837.38/x
3. Step 3: Cross multiply
   10,494.56x = 14,498.40 × 7,837.38
4. Step 4: Simplify right side
   10,494.56x = 113,629,470.19
5. Step 5: Solve for x
   x = 113,629,470.19/10,494.56
6. Step 6: Final answer
   x = 10,827.46