Finding the Fourth Proportional to 10,814.80, 14,923.86 and 6,098.78

Step by Step Solution

1. Step 1: Write the proportion equation
   10,814.80 : 14,923.86 = 6,098.78 : x
2. Step 2: Convert to fraction form
   10,814.80/14,923.86 = 6,098.78/x
3. Step 3: Cross multiply
   10,814.80x = 14,923.86 × 6,098.78
4. Step 4: Simplify right side
   10,814.80x = 91,017,338.89
5. Step 5: Solve for x
   x = 91,017,338.89/10,814.80
6. Step 6: Final answer
   x = 8,416.00