Finding the Fourth Proportional to 13,875, 19,147.50 and 7,587.42

Step by Step Solution

1. Step 1: Write the proportion equation
   13,875 : 19,147.50 = 7,587.42 : x
2. Step 2: Convert to fraction form
   13,875/19,147.50 = 7,587.42/x
3. Step 3: Cross multiply
   13,875x = 19,147.50 × 7,587.42
4. Step 4: Simplify right side
   13,875x = 145,280,124.45
5. Step 5: Solve for x
   x = 145,280,124.45/13,875
6. Step 6: Final answer
   x = 10,470.64