Finding the Fourth Proportional to 37,584, 56,384.64 and 12,960

Step by Step Solution

1. Step 1: Write the proportion equation
   37,584 : 56,384.64 = 12,960 : x
2. Step 2: Convert to fraction form
   37,584/56,384.64 = 12,960/x
3. Step 3: Cross multiply
   37,584x = 56,384.64 × 12,960
4. Step 4: Simplify right side
   37,584x = 730,744,934.40
5. Step 5: Solve for x
   x = 730,744,934.40/37,584
6. Step 6: Final answer
   x = 19,442.98