Finding the Fourth Proportional to 7,856.84, 10,842.50 and 4,320.12

Step by Step Solution

1. Step 1: Write the proportion equation
   7,856.84 : 10,842.50 = 4,320.12 : x
2. Step 2: Convert to fraction form
   7,856.84/10,842.50 = 4,320.12/x
3. Step 3: Cross multiply
   7,856.84x = 10,842.50 × 4,320.12
4. Step 4: Simplify right side
   7,856.84x = 46,840,901.10
5. Step 5: Solve for x
   x = 46,840,901.10/7,856.84
6. Step 6: Final answer
   x = 5,961.80