Finding the Fourth Proportional to 7,820.64, 10,788.82 and 5,695.25

Step by Step Solution

1. Step 1: Write the proportion equation
   7,820.64 : 10,788.82 = 5,695.25 : x
2. Step 2: Convert to fraction form
   7,820.64/10,788.82 = 5,695.25/x
3. Step 3: Cross multiply
   7,820.64x = 10,788.82 × 5,695.25
4. Step 4: Simplify right side
   7,820.64x = 61,444,958.92
5. Step 5: Solve for x
   x = 61,444,958.92/7,820.64
6. Step 6: Final answer
   x = 7,856.77