Finding the Fourth Proportional to 11,938.96, 17,882.52 and 5,770

Step by Step Solution

1. Step 1: Write the proportion equation
   11,938.96 : 17,882.52 = 5,770 : x
2. Step 2: Convert to fraction form
   11,938.96/17,882.52 = 5,770/x
3. Step 3: Cross multiply
   11,938.96x = 17,882.52 × 5,770
4. Step 4: Simplify right side
   11,938.96x = 103,182,140.40
5. Step 5: Solve for x
   x = 103,182,140.40/11,938.96
6. Step 6: Final answer
   x = 8,642.47