Finding the Fourth Proportional to 11,586.83, 16,002.96 and 7,803.42

Step by Step Solution

1. Step 1: Write the proportion equation
   11,586.83 : 16,002.96 = 7,803.42 : x
2. Step 2: Convert to fraction form
   11,586.83/16,002.96 = 7,803.42/x
3. Step 3: Cross multiply
   11,586.83x = 16,002.96 × 7,803.42
4. Step 4: Simplify right side
   11,586.83x = 124,877,728.85
5. Step 5: Solve for x
   x = 124,877,728.85/11,586.83
6. Step 6: Final answer
   x = 10,777.56