Finding the Fourth Proportional to 5,715.60, 7,878.12 and 3,826.53

Step by Step Solution

1. Step 1: Write the proportion equation
   5,715.60 : 7,878.12 = 3,826.53 : x
2. Step 2: Convert to fraction form
   5,715.60/7,878.12 = 3,826.53/x
3. Step 3: Cross multiply
   5,715.60x = 7,878.12 × 3,826.53
4. Step 4: Simplify right side
   5,715.60x = 30,145,862.52
5. Step 5: Solve for x
   x = 30,145,862.52/5,715.60
6. Step 6: Final answer
   x = 5,274.31