Finding the Fourth Proportional to 13,837.89, 19,096.11 and 7,549.86

Step by Step Solution

1. Step 1: Write the proportion equation
   13,837.89 : 19,096.11 = 7,549.86 : x
2. Step 2: Convert to fraction form
   13,837.89/19,096.11 = 7,549.86/x
3. Step 3: Cross multiply
   13,837.89x = 19,096.11 × 7,549.86
4. Step 4: Simplify right side
   13,837.89x = 144,172,957.04
5. Step 5: Solve for x
   x = 144,172,957.04/13,837.89
6. Step 6: Final answer
   x = 10,418.71