Finding the Fourth Proportional to 11,870.50, 16,381.56 and 7,686.04

Step by Step Solution

1. Step 1: Write the proportion equation
   11,870.50 : 16,381.56 = 7,686.04 : x
2. Step 2: Convert to fraction form
   11,870.50/16,381.56 = 7,686.04/x
3. Step 3: Cross multiply
   11,870.50x = 16,381.56 × 7,686.04
4. Step 4: Simplify right side
   11,870.50x = 125,909,325.42
5. Step 5: Solve for x
   x = 125,909,325.42/11,870.50
6. Step 6: Final answer
   x = 10,606.91