Finding the Fourth Proportional to 10,083.47, 13,914.53 and 5,607.06

Step by Step Solution

1. Step 1: Write the proportion equation
   10,083.47 : 13,914.53 = 5,607.06 : x
2. Step 2: Convert to fraction form
   10,083.47/13,914.53 = 5,607.06/x
3. Step 3: Cross multiply
   10,083.47x = 13,914.53 × 5,607.06
4. Step 4: Simplify right side
   10,083.47x = 78,019,535.01
5. Step 5: Solve for x
   x = 78,019,535.01/10,083.47
6. Step 6: Final answer
   x = 7,737.37