Finding the Fourth Proportional to 12,877.40, 19,312.38 and 5,853.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,877.40 : 19,312.38 = 5,853.50 : x
2. Step 2: Convert to fraction form
   12,877.40/19,312.38 = 5,853.50/x
3. Step 3: Cross multiply
   12,877.40x = 19,312.38 × 5,853.50
4. Step 4: Simplify right side
   12,877.40x = 113,045,016.33
5. Step 5: Solve for x
   x = 113,045,016.33/12,877.40
6. Step 6: Final answer
   x = 8,778.56