Finding the Fourth Proportional to 7,856.78, 10,847.34 and 5,465.86

Step by Step Solution

1. Step 1: Write the proportion equation
   7,856.78 : 10,847.34 = 5,465.86 : x
2. Step 2: Convert to fraction form
   7,856.78/10,847.34 = 5,465.86/x
3. Step 3: Cross multiply
   7,856.78x = 10,847.34 × 5,465.86
4. Step 4: Simplify right side
   7,856.78x = 59,290,041.81
5. Step 5: Solve for x
   x = 59,290,041.81/7,856.78
6. Step 6: Final answer
   x = 7,546.35