Finding the Fourth Proportional to 13,002.86, 19,504.31 and 5,106.20

Step by Step Solution

1. Step 1: Write the proportion equation
   13,002.86 : 19,504.31 = 5,106.20 : x
2. Step 2: Convert to fraction form
   13,002.86/19,504.31 = 5,106.20/x
3. Step 3: Cross multiply
   13,002.86x = 19,504.31 × 5,106.20
4. Step 4: Simplify right side
   13,002.86x = 99,592,784.67
5. Step 5: Solve for x
   x = 99,592,784.67/13,002.86
6. Step 6: Final answer
   x = 7,659.30