Finding the Fourth Proportional to 7,836.88, 10,813.56 and 5,182.86

Step by Step Solution

1. Step 1: Write the proportion equation
   7,836.88 : 10,813.56 = 5,182.86 : x
2. Step 2: Convert to fraction form
   7,836.88/10,813.56 = 5,182.86/x
3. Step 3: Cross multiply
   7,836.88x = 10,813.56 × 5,182.86
4. Step 4: Simplify right side
   7,836.88x = 56,045,167.58
5. Step 5: Solve for x
   x = 56,045,167.58/7,836.88
6. Step 6: Final answer
   x = 7,151.46