Finding the Fourth Proportional to 10,456.02, 15,686.62 and 5,193.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,456.02 : 15,686.62 = 5,193.50 : x
2. Step 2: Convert to fraction form
   10,456.02/15,686.62 = 5,193.50/x
3. Step 3: Cross multiply
   10,456.02x = 15,686.62 × 5,193.50
4. Step 4: Simplify right side
   10,456.02x = 81,468,460.97
5. Step 5: Solve for x
   x = 81,468,460.97/10,456.02
6. Step 6: Final answer
   x = 7,791.54