Finding the Fourth Proportional to 11,842.16, 17,762.84 and 3,077.15

Step by Step Solution

1. Step 1: Write the proportion equation
   11,842.16 : 17,762.84 = 3,077.15 : x
2. Step 2: Convert to fraction form
   11,842.16/17,762.84 = 3,077.15/x
3. Step 3: Cross multiply
   11,842.16x = 17,762.84 × 3,077.15
4. Step 4: Simplify right side
   11,842.16x = 54,658,907.72
5. Step 5: Solve for x
   x = 54,658,907.72/11,842.16
6. Step 6: Final answer
   x = 4,615.62