Finding the Fourth Proportional to 10,062.72, 13,886.64 and 5,586.30

Step by Step Solution

1. Step 1: Write the proportion equation
   10,062.72 : 13,886.64 = 5,586.30 : x
2. Step 2: Convert to fraction form
   10,062.72/13,886.64 = 5,586.30/x
3. Step 3: Cross multiply
   10,062.72x = 13,886.64 × 5,586.30
4. Step 4: Simplify right side
   10,062.72x = 77,574,937.03
5. Step 5: Solve for x
   x = 77,574,937.03/10,062.72
6. Step 6: Final answer
   x = 7,709.14