Finding the Fourth Proportional to 10,510.50, 15,768.25 and 3,585

Step by Step Solution

1. Step 1: Write the proportion equation
   10,510.50 : 15,768.25 = 3,585 : x
2. Step 2: Convert to fraction form
   10,510.50/15,768.25 = 3,585/x
3. Step 3: Cross multiply
   10,510.50x = 15,768.25 × 3,585
4. Step 4: Simplify right side
   10,510.50x = 56,529,167.29
5. Step 5: Solve for x
   x = 56,529,167.29/10,510.50
6. Step 6: Final answer
   x = 5,378.35