Finding the Fourth Proportional to 10,538.58, 15,824.31 and 10,071.18

Step by Step Solution

1. Step 1: Write the proportion equation
   10,538.58 : 15,824.31 = 10,071.18 : x
2. Step 2: Convert to fraction form
   10,538.58/15,824.31 = 10,071.18/x
3. Step 3: Cross multiply
   10,538.58x = 15,824.31 × 10,071.18
4. Step 4: Simplify right side
   10,538.58x = 159,369,474.39
5. Step 5: Solve for x
   x = 159,369,474.39/10,538.58
6. Step 6: Final answer
   x = 15,122.48