Finding the Fourth Proportional to 10,210.96, 14,090.01 and 5,735.20

Step by Step Solution

1. Step 1: Write the proportion equation
   10,210.96 : 14,090.01 = 5,735.20 : x
2. Step 2: Convert to fraction form
   10,210.96/14,090.01 = 5,735.20/x
3. Step 3: Cross multiply
   10,210.96x = 14,090.01 × 5,735.20
4. Step 4: Simplify right side
   10,210.96x = 80,809,025.35
5. Step 5: Solve for x
   x = 80,809,025.35/10,210.96
6. Step 6: Final answer
   x = 7,913.95