Finding the Fourth Proportional to 10,210.51, 14,090.82 and 5,734.36

Step by Step Solution

1. Step 1: Write the proportion equation
   10,210.51 : 14,090.82 = 5,734.36 : x
2. Step 2: Convert to fraction form
   10,210.51/14,090.82 = 5,734.36/x
3. Step 3: Cross multiply
   10,210.51x = 14,090.82 × 5,734.36
4. Step 4: Simplify right side
   10,210.51x = 80,801,799.35
5. Step 5: Solve for x
   x = 80,801,799.35/10,210.51
6. Step 6: Final answer
   x = 7,913.59