Finding the Fourth Proportional to 13,873.34, 19,144.82 and 7,585.31

Step by Step Solution

1. Step 1: Write the proportion equation
   13,873.34 : 19,144.82 = 7,585.31 : x
2. Step 2: Convert to fraction form
   13,873.34/19,144.82 = 7,585.31/x
3. Step 3: Cross multiply
   13,873.34x = 19,144.82 × 7,585.31
4. Step 4: Simplify right side
   13,873.34x = 145,219,461.42
5. Step 5: Solve for x
   x = 145,219,461.42/13,873.34
6. Step 6: Final answer
   x = 10,467.52