Finding the Fourth Proportional to 10,514.81, 15,780.04 and 4,969.86

Step by Step Solution

1. Step 1: Write the proportion equation
   10,514.81 : 15,780.04 = 4,969.86 : x
2. Step 2: Convert to fraction form
   10,514.81/15,780.04 = 4,969.86/x
3. Step 3: Cross multiply
   10,514.81x = 15,780.04 × 4,969.86
4. Step 4: Simplify right side
   10,514.81x = 78,424,589.59
5. Step 5: Solve for x
   x = 78,424,589.59/10,514.81
6. Step 6: Final answer
   x = 7,458.49