Finding the Fourth Proportional to 13,842.06, 20,766.15 and 5,077.05

Step by Step Solution

1. Step 1: Write the proportion equation
   13,842.06 : 20,766.15 = 5,077.05 : x
2. Step 2: Convert to fraction form
   13,842.06/20,766.15 = 5,077.05/x
3. Step 3: Cross multiply
   13,842.06x = 20,766.15 × 5,077.05
4. Step 4: Simplify right side
   13,842.06x = 105,430,781.86
5. Step 5: Solve for x
   x = 105,430,781.86/13,842.06
6. Step 6: Final answer
   x = 7,616.70