Finding the Fourth Proportional to 10,210.10, 14,089.48 and 5,733.77

Step by Step Solution

1. Step 1: Write the proportion equation
   10,210.10 : 14,089.48 = 5,733.77 : x
2. Step 2: Convert to fraction form
   10,210.10/14,089.48 = 5,733.77/x
3. Step 3: Cross multiply
   10,210.10x = 14,089.48 × 5,733.77
4. Step 4: Simplify right side
   10,210.10x = 80,785,752.96
5. Step 5: Solve for x
   x = 80,785,752.96/10,210.10
6. Step 6: Final answer
   x = 7,912.34