Finding the Fourth Proportional to 13,003.59, 19,502.94 and 5,105.78

Step by Step Solution

1. Step 1: Write the proportion equation
   13,003.59 : 19,502.94 = 5,105.78 : x
2. Step 2: Convert to fraction form
   13,003.59/19,502.94 = 5,105.78/x
3. Step 3: Cross multiply
   13,003.59x = 19,502.94 × 5,105.78
4. Step 4: Simplify right side
   13,003.59x = 99,577,720.99
5. Step 5: Solve for x
   x = 99,577,720.99/13,003.59
6. Step 6: Final answer
   x = 7,657.71