Finding the Fourth Proportional to 10,587.82, 14,611.86 and 6,111.76

Step by Step Solution

1. Step 1: Write the proportion equation
   10,587.82 : 14,611.86 = 6,111.76 : x
2. Step 2: Convert to fraction form
   10,587.82/14,611.86 = 6,111.76/x
3. Step 3: Cross multiply
   10,587.82x = 14,611.86 × 6,111.76
4. Step 4: Simplify right side
   10,587.82x = 89,304,181.47
5. Step 5: Solve for x
   x = 89,304,181.47/10,587.82
6. Step 6: Final answer
   x = 8,434.61