Finding the Fourth Proportional to 31,587.76, 47,377.86 and 8,213.59

Step by Step Solution

1. Step 1: Write the proportion equation
   31,587.76 : 47,377.86 = 8,213.59 : x
2. Step 2: Convert to fraction form
   31,587.76/47,377.86 = 8,213.59/x
3. Step 3: Cross multiply
   31,587.76x = 47,377.86 × 8,213.59
4. Step 4: Simplify right side
   31,587.76x = 389,142,317.12
5. Step 5: Solve for x
   x = 389,142,317.12/31,587.76
6. Step 6: Final answer
   x = 12,319.40