Finding the Fourth Proportional to 13,827.50, 19,088.76 and 9,581.78

Step by Step Solution

1. Step 1: Write the proportion equation
   13,827.50 : 19,088.76 = 9,581.78 : x
2. Step 2: Convert to fraction form
   13,827.50/19,088.76 = 9,581.78/x
3. Step 3: Cross multiply
   13,827.50x = 19,088.76 × 9,581.78
4. Step 4: Simplify right side
   13,827.50x = 182,904,298.79
5. Step 5: Solve for x
   x = 182,904,298.79/13,827.50
6. Step 6: Final answer
   x = 13,227.58