Finding the Fourth Proportional to 30,924, 46,407.60 and 12,456

Step by Step Solution

1. Step 1: Write the proportion equation
   30,924 : 46,407.60 = 12,456 : x
2. Step 2: Convert to fraction form
   30,924/46,407.60 = 12,456/x
3. Step 3: Cross multiply
   30,924x = 46,407.60 × 12,456
4. Step 4: Simplify right side
   30,924x = 578,053,065.60
5. Step 5: Solve for x
   x = 578,053,065.60/30,924
6. Step 6: Final answer
   x = 18,692.70