Finding the Fourth Proportional to 10,062.78, 13,886.80 and 5,586.82

Step by Step Solution

1. Step 1: Write the proportion equation
   10,062.78 : 13,886.80 = 5,586.82 : x
2. Step 2: Convert to fraction form
   10,062.78/13,886.80 = 5,586.82/x
3. Step 3: Cross multiply
   10,062.78x = 13,886.80 × 5,586.82
4. Step 4: Simplify right side
   10,062.78x = 77,583,051.98
5. Step 5: Solve for x
   x = 77,583,051.98/10,062.78
6. Step 6: Final answer
   x = 7,709.90