Finding the Fourth Proportional to 10,498.59, 15,736.14 and 5,293.53

Step by Step Solution

1. Step 1: Write the proportion equation
   10,498.59 : 15,736.14 = 5,293.53 : x
2. Step 2: Convert to fraction form
   10,498.59/15,736.14 = 5,293.53/x
3. Step 3: Cross multiply
   10,498.59x = 15,736.14 × 5,293.53
4. Step 4: Simplify right side
   10,498.59x = 83,299,729.17
5. Step 5: Solve for x
   x = 83,299,729.17/10,498.59
6. Step 6: Final answer
   x = 7,934.37