Finding the Fourth Proportional to 13,002.54, 19,494.97 and 5,100.10

Step by Step Solution

1. Step 1: Write the proportion equation
   13,002.54 : 19,494.97 = 5,100.10 : x
2. Step 2: Convert to fraction form
   13,002.54/19,494.97 = 5,100.10/x
3. Step 3: Cross multiply
   13,002.54x = 19,494.97 × 5,100.10
4. Step 4: Simplify right side
   13,002.54x = 99,426,296.50
5. Step 5: Solve for x
   x = 99,426,296.50/13,002.54
6. Step 6: Final answer
   x = 7,646.68