Finding the Fourth Proportional to 5,152.15, 7,727.79 and 1,642.01

Step by Step Solution

1. Step 1: Write the proportion equation
   5,152.15 : 7,727.79 = 1,642.01 : x
2. Step 2: Convert to fraction form
   5,152.15/7,727.79 = 1,642.01/x
3. Step 3: Cross multiply
   5,152.15x = 7,727.79 × 1,642.01
4. Step 4: Simplify right side
   5,152.15x = 12,689,108.46
5. Step 5: Solve for x
   x = 12,689,108.46/5,152.15
6. Step 6: Final answer
   x = 2,462.88