Finding the Fourth Proportional to 10,494.77, 14,483.81 and 7,837.57

Step by Step Solution

1. Step 1: Write the proportion equation
   10,494.77 : 14,483.81 = 7,837.57 : x
2. Step 2: Convert to fraction form
   10,494.77/14,483.81 = 7,837.57/x
3. Step 3: Cross multiply
   10,494.77x = 14,483.81 × 7,837.57
4. Step 4: Simplify right side
   10,494.77x = 113,517,874.74
5. Step 5: Solve for x
   x = 113,517,874.74/10,494.77
6. Step 6: Final answer
   x = 10,816.61