Finding the Fourth Proportional to 5,118.24, 7,677.32 and 1,420.52

Step by Step Solution

1. Step 1: Write the proportion equation
   5,118.24 : 7,677.32 = 1,420.52 : x
2. Step 2: Convert to fraction form
   5,118.24/7,677.32 = 1,420.52/x
3. Step 3: Cross multiply
   5,118.24x = 7,677.32 × 1,420.52
4. Step 4: Simplify right side
   5,118.24x = 10,905,786.61
5. Step 5: Solve for x
   x = 10,905,786.61/5,118.24
6. Step 6: Final answer
   x = 2,130.77