Finding the Fourth Proportional to 10,213.77, 14,096.32 and 5,737.53

Step by Step Solution

1. Step 1: Write the proportion equation
   10,213.77 : 14,096.32 = 5,737.53 : x
2. Step 2: Convert to fraction form
   10,213.77/14,096.32 = 5,737.53/x
3. Step 3: Cross multiply
   10,213.77x = 14,096.32 × 5,737.53
4. Step 4: Simplify right side
   10,213.77x = 80,877,974.06
5. Step 5: Solve for x
   x = 80,877,974.06/10,213.77
6. Step 6: Final answer
   x = 7,918.52