Finding the Fourth Proportional to 12,871.60, 17,763.50 and 7,835.02

Step by Step Solution

1. Step 1: Write the proportion equation
   12,871.60 : 17,763.50 = 7,835.02 : x
2. Step 2: Convert to fraction form
   12,871.60/17,763.50 = 7,835.02/x
3. Step 3: Cross multiply
   12,871.60x = 17,763.50 × 7,835.02
4. Step 4: Simplify right side
   12,871.60x = 139,177,377.77
5. Step 5: Solve for x
   x = 139,177,377.77/12,871.60
6. Step 6: Final answer
   x = 10,812.75