Finding the Fourth Proportional to 13,002.66, 19,504.54 and 5,106.88

Step by Step Solution

1. Step 1: Write the proportion equation
   13,002.66 : 19,504.54 = 5,106.88 : x
2. Step 2: Convert to fraction form
   13,002.66/19,504.54 = 5,106.88/x
3. Step 3: Cross multiply
   13,002.66x = 19,504.54 × 5,106.88
4. Step 4: Simplify right side
   13,002.66x = 99,607,445.22
5. Step 5: Solve for x
   x = 99,607,445.22/13,002.66
6. Step 6: Final answer
   x = 7,660.54