Finding the Fourth Proportional to 11,837.60, 16,333.04 and 7,586.72

Step by Step Solution

1. Step 1: Write the proportion equation
   11,837.60 : 16,333.04 = 7,586.72 : x
2. Step 2: Convert to fraction form
   11,837.60/16,333.04 = 7,586.72/x
3. Step 3: Cross multiply
   11,837.60x = 16,333.04 × 7,586.72
4. Step 4: Simplify right side
   11,837.60x = 123,914,201.23
5. Step 5: Solve for x
   x = 123,914,201.23/11,837.60
6. Step 6: Final answer
   x = 10,467.85