Finding the Fourth Proportional to 10,061.48, 13,886.50 and 5,586.68

Step by Step Solution

1. Step 1: Write the proportion equation
   10,061.48 : 13,886.50 = 5,586.68 : x
2. Step 2: Convert to fraction form
   10,061.48/13,886.50 = 5,586.68/x
3. Step 3: Cross multiply
   10,061.48x = 13,886.50 × 5,586.68
4. Step 4: Simplify right side
   10,061.48x = 77,579,431.82
5. Step 5: Solve for x
   x = 77,579,431.82/10,061.48
6. Step 6: Final answer
   x = 7,710.54