Finding the Fourth Proportional to 12,856.60, 19,281.12 and 5,461

Step by Step Solution

1. Step 1: Write the proportion equation
   12,856.60 : 19,281.12 = 5,461 : x
2. Step 2: Convert to fraction form
   12,856.60/19,281.12 = 5,461/x
3. Step 3: Cross multiply
   12,856.60x = 19,281.12 × 5,461
4. Step 4: Simplify right side
   12,856.60x = 105,294,196.32
5. Step 5: Solve for x
   x = 105,294,196.32/12,856.60
6. Step 6: Final answer
   x = 8,189.89