Finding the Fourth Proportional to 10,762.50, 16,146.18 and 3,837

Step by Step Solution

1. Step 1: Write the proportion equation
   10,762.50 : 16,146.18 = 3,837 : x
2. Step 2: Convert to fraction form
   10,762.50/16,146.18 = 3,837/x
3. Step 3: Cross multiply
   10,762.50x = 16,146.18 × 3,837
4. Step 4: Simplify right side
   10,762.50x = 61,952,892.66
5. Step 5: Solve for x
   x = 61,952,892.66/10,762.50
6. Step 6: Final answer
   x = 5,756.37