Finding the Fourth Proportional to 10,062.99, 13,886.34 and 5,586.42

Step by Step Solution

1. Step 1: Write the proportion equation
   10,062.99 : 13,886.34 = 5,586.42 : x
2. Step 2: Convert to fraction form
   10,062.99/13,886.34 = 5,586.42/x
3. Step 3: Cross multiply
   10,062.99x = 13,886.34 × 5,586.42
4. Step 4: Simplify right side
   10,062.99x = 77,574,927.50
5. Step 5: Solve for x
   x = 77,574,927.50/10,062.99
6. Step 6: Final answer
   x = 7,708.93