Finding the Fourth Proportional to 10,494.74, 14,483.76 and 7,837.53

Step by Step Solution

1. Step 1: Write the proportion equation
   10,494.74 : 14,483.76 = 7,837.53 : x
2. Step 2: Convert to fraction form
   10,494.74/14,483.76 = 7,837.53/x
3. Step 3: Cross multiply
   10,494.74x = 14,483.76 × 7,837.53
4. Step 4: Simplify right side
   10,494.74x = 113,516,864.33
5. Step 5: Solve for x
   x = 113,516,864.33/10,494.74
6. Step 6: Final answer
   x = 10,816.55