Finding the Fourth Proportional to 10,061.59, 13,886.64 and 5,586.78

Step by Step Solution

1. Step 1: Write the proportion equation
   10,061.59 : 13,886.64 = 5,586.78 : x
2. Step 2: Convert to fraction form
   10,061.59/13,886.64 = 5,586.78/x
3. Step 3: Cross multiply
   10,061.59x = 13,886.64 × 5,586.78
4. Step 4: Simplify right side
   10,061.59x = 77,581,602.62
5. Step 5: Solve for x
   x = 77,581,602.62/10,061.59
6. Step 6: Final answer
   x = 7,710.67