Finding the Fourth Proportional to 11,790.78, 17,677.53 and 10,071.42

Step by Step Solution

1. Step 1: Write the proportion equation
   11,790.78 : 17,677.53 = 10,071.42 : x
2. Step 2: Convert to fraction form
   11,790.78/17,677.53 = 10,071.42/x
3. Step 3: Cross multiply
   11,790.78x = 17,677.53 × 10,071.42
4. Step 4: Simplify right side
   11,790.78x = 178,037,829.19
5. Step 5: Solve for x
   x = 178,037,829.19/11,790.78
6. Step 6: Final answer
   x = 15,099.75