Finding the Fourth Proportional to 13,873.50, 19,145.61 and 7,586.01

Step by Step Solution

1. Step 1: Write the proportion equation
   13,873.50 : 19,145.61 = 7,586.01 : x
2. Step 2: Convert to fraction form
   13,873.50/19,145.61 = 7,586.01/x
3. Step 3: Cross multiply
   13,873.50x = 19,145.61 × 7,586.01
4. Step 4: Simplify right side
   13,873.50x = 145,238,788.92
5. Step 5: Solve for x
   x = 145,238,788.92/13,873.50
6. Step 6: Final answer
   x = 10,468.79