Finding the Fourth Proportional to 7,856.82, 10,842.56 and 4,670.46

Step by Step Solution

1. Step 1: Write the proportion equation
   7,856.82 : 10,842.56 = 4,670.46 : x
2. Step 2: Convert to fraction form
   7,856.82/10,842.56 = 4,670.46/x
3. Step 3: Cross multiply
   7,856.82x = 10,842.56 × 4,670.46
4. Step 4: Simplify right side
   7,856.82x = 50,639,742.78
5. Step 5: Solve for x
   x = 50,639,742.78/7,856.82
6. Step 6: Final answer
   x = 6,445.32