Finding the Fourth Proportional to 10,062.39, 13,886.55 and 5,586.20

Step by Step Solution

1. Step 1: Write the proportion equation
   10,062.39 : 13,886.55 = 5,586.20 : x
2. Step 2: Convert to fraction form
   10,062.39/13,886.55 = 5,586.20/x
3. Step 3: Cross multiply
   10,062.39x = 13,886.55 × 5,586.20
4. Step 4: Simplify right side
   10,062.39x = 77,573,045.61
5. Step 5: Solve for x
   x = 77,573,045.61/10,062.39
6. Step 6: Final answer
   x = 7,709.21