Finding the Fourth Proportional to 13,873.12, 19,144.83 and 7,585.54

Step by Step Solution

1. Step 1: Write the proportion equation
   13,873.12 : 19,144.83 = 7,585.54 : x
2. Step 2: Convert to fraction form
   13,873.12/19,144.83 = 7,585.54/x
3. Step 3: Cross multiply
   13,873.12x = 19,144.83 × 7,585.54
4. Step 4: Simplify right side
   13,873.12x = 145,223,873.76
5. Step 5: Solve for x
   x = 145,223,873.76/13,873.12
6. Step 6: Final answer
   x = 10,468.00