Finding the Fourth Proportional to 10,393.49, 14,343.41 and 5,677.81

Step by Step Solution

1. Step 1: Write the proportion equation
   10,393.49 : 14,343.41 = 5,677.81 : x
2. Step 2: Convert to fraction form
   10,393.49/14,343.41 = 5,677.81/x
3. Step 3: Cross multiply
   10,393.49x = 14,343.41 × 5,677.81
4. Step 4: Simplify right side
   10,393.49x = 81,439,156.73
5. Step 5: Solve for x
   x = 81,439,156.73/10,393.49
6. Step 6: Final answer
   x = 7,835.59