Finding the Fourth Proportional to 10,763, 16,145.10 and 3,837.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,763 : 16,145.10 = 3,837.50 : x
2. Step 2: Convert to fraction form
   10,763/16,145.10 = 3,837.50/x
3. Step 3: Cross multiply
   10,763x = 16,145.10 × 3,837.50
4. Step 4: Simplify right side
   10,763x = 61,956,821.25
5. Step 5: Solve for x
   x = 61,956,821.25/10,763
6. Step 6: Final answer
   x = 5,756.46