Finding the Fourth Proportional to 10,083.70, 13,914.88 and 5,607.29

Step by Step Solution

1. Step 1: Write the proportion equation
   10,083.70 : 13,914.88 = 5,607.29 : x
2. Step 2: Convert to fraction form
   10,083.70/13,914.88 = 5,607.29/x
3. Step 3: Cross multiply
   10,083.70x = 13,914.88 × 5,607.29
4. Step 4: Simplify right side
   10,083.70x = 78,024,767.48
5. Step 5: Solve for x
   x = 78,024,767.48/10,083.70
6. Step 6: Final answer
   x = 7,737.71