Finding the Fourth Proportional to 10,083.71, 13,914.45 and 5,606.74

Step by Step Solution

1. Step 1: Write the proportion equation
   10,083.71 : 13,914.45 = 5,606.74 : x
2. Step 2: Convert to fraction form
   10,083.71/13,914.45 = 5,606.74/x
3. Step 3: Cross multiply
   10,083.71x = 13,914.45 × 5,606.74
4. Step 4: Simplify right side
   10,083.71x = 78,014,642.52
5. Step 5: Solve for x
   x = 78,014,642.52/10,083.71
6. Step 6: Final answer
   x = 7,736.70