Finding the Fourth Proportional to 10,062.42, 13,886.50 and 5,586.24

Step by Step Solution

1. Step 1: Write the proportion equation
   10,062.42 : 13,886.50 = 5,586.24 : x
2. Step 2: Convert to fraction form
   10,062.42/13,886.50 = 5,586.24/x
3. Step 3: Cross multiply
   10,062.42x = 13,886.50 × 5,586.24
4. Step 4: Simplify right side
   10,062.42x = 77,573,293.83
5. Step 5: Solve for x
   x = 77,573,293.83/10,062.42
6. Step 6: Final answer
   x = 7,709.21