Finding the Fourth Proportional to 5,153.33, 7,730.59 and 1,642.10

Step by Step Solution

1. Step 1: Write the proportion equation
   5,153.33 : 7,730.59 = 1,642.10 : x
2. Step 2: Convert to fraction form
   5,153.33/7,730.59 = 1,642.10/x
3. Step 3: Cross multiply
   5,153.33x = 7,730.59 × 1,642.10
4. Step 4: Simplify right side
   5,153.33x = 12,694,401.84
5. Step 5: Solve for x
   x = 12,694,401.84/5,153.33
6. Step 6: Final answer
   x = 2,463.34