Finding the Fourth Proportional to 5,109.35, 7,664.18 and 1,411.58

Step by Step Solution

1. Step 1: Write the proportion equation
   5,109.35 : 7,664.18 = 1,411.58 : x
2. Step 2: Convert to fraction form
   5,109.35/7,664.18 = 1,411.58/x
3. Step 3: Cross multiply
   5,109.35x = 7,664.18 × 1,411.58
4. Step 4: Simplify right side
   5,109.35x = 10,818,615.31
5. Step 5: Solve for x
   x = 10,818,615.31/5,109.35
6. Step 6: Final answer
   x = 2,117.42