Finding the Fourth Proportional to 13,003.47, 19,497.68 and 5,096.75

Step by Step Solution

1. Step 1: Write the proportion equation
   13,003.47 : 19,497.68 = 5,096.75 : x
2. Step 2: Convert to fraction form
   13,003.47/19,497.68 = 5,096.75/x
3. Step 3: Cross multiply
   13,003.47x = 19,497.68 × 5,096.75
4. Step 4: Simplify right side
   13,003.47x = 99,374,677.57
5. Step 5: Solve for x
   x = 99,374,677.57/13,003.47
6. Step 6: Final answer
   x = 7,642.17