Finding the Fourth Proportional to 12,784.31, 19,148.76 and 6,196.71

Step by Step Solution

1. Step 1: Write the proportion equation
   12,784.31 : 19,148.76 = 6,196.71 : x
2. Step 2: Convert to fraction form
   12,784.31/19,148.76 = 6,196.71/x
3. Step 3: Cross multiply
   12,784.31x = 19,148.76 × 6,196.71
4. Step 4: Simplify right side
   12,784.31x = 118,659,312.58
5. Step 5: Solve for x
   x = 118,659,312.58/12,784.31
6. Step 6: Final answer
   x = 9,281.64