Finding the Fourth Proportional to 13,061.50, 19,596.30 and 3,827.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,061.50 : 19,596.30 = 3,827.50 : x
2. Step 2: Convert to fraction form
   13,061.50/19,596.30 = 3,827.50/x
3. Step 3: Cross multiply
   13,061.50x = 19,596.30 × 3,827.50
4. Step 4: Simplify right side
   13,061.50x = 75,004,838.25
5. Step 5: Solve for x
   x = 75,004,838.25/13,061.50
6. Step 6: Final answer
   x = 5,742.44