Finding the Fourth Proportional to 13,886.14, 19,162.71 and 7,598.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,886.14 : 19,162.71 = 7,598.50 : x
2. Step 2: Convert to fraction form
   13,886.14/19,162.71 = 7,598.50/x
3. Step 3: Cross multiply
   13,886.14x = 19,162.71 × 7,598.50
4. Step 4: Simplify right side
   13,886.14x = 145,607,851.94
5. Step 5: Solve for x
   x = 145,607,851.94/13,886.14
6. Step 6: Final answer
   x = 10,485.84