Finding the Fourth Proportional to 10,507, 15,763.20 and 3,581.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,507 : 15,763.20 = 3,581.50 : x
2. Step 2: Convert to fraction form
   10,507/15,763.20 = 3,581.50/x
3. Step 3: Cross multiply
   10,507x = 15,763.20 × 3,581.50
4. Step 4: Simplify right side
   10,507x = 56,455,900.80
5. Step 5: Solve for x
   x = 56,455,900.80/10,507
6. Step 6: Final answer
   x = 5,373.17