Finding the Fourth Proportional to 10,083.38, 13,914.20 and 5,607.05

Step by Step Solution

1. Step 1: Write the proportion equation
   10,083.38 : 13,914.20 = 5,607.05 : x
2. Step 2: Convert to fraction form
   10,083.38/13,914.20 = 5,607.05/x
3. Step 3: Cross multiply
   10,083.38x = 13,914.20 × 5,607.05
4. Step 4: Simplify right side
   10,083.38x = 78,017,587.07
5. Step 5: Solve for x
   x = 78,017,587.07/10,083.38
6. Step 6: Final answer
   x = 7,737.25