Finding the Fourth Proportional to 12,871.58, 17,764.27 and 7,838.75

Step by Step Solution

1. Step 1: Write the proportion equation
   12,871.58 : 17,764.27 = 7,838.75 : x
2. Step 2: Convert to fraction form
   12,871.58/17,764.27 = 7,838.75/x
3. Step 3: Cross multiply
   12,871.58x = 17,764.27 × 7,838.75
4. Step 4: Simplify right side
   12,871.58x = 139,249,582.64
5. Step 5: Solve for x
   x = 139,249,582.64/12,871.58
6. Step 6: Final answer
   x = 10,818.38