Finding the Fourth Proportional to 7,112.86, 10,669.24 and 3,827.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,112.86 : 10,669.24 = 3,827.50 : x
2. Step 2: Convert to fraction form
   7,112.86/10,669.24 = 3,827.50/x
3. Step 3: Cross multiply
   7,112.86x = 10,669.24 × 3,827.50
4. Step 4: Simplify right side
   7,112.86x = 40,836,516.10
5. Step 5: Solve for x
   x = 40,836,516.10/7,112.86
6. Step 6: Final answer
   x = 5,741.22