Finding the Fourth Proportional to 10,264.64, 15,386.18 and 5,816.78

Step by Step Solution

1. Step 1: Write the proportion equation
   10,264.64 : 15,386.18 = 5,816.78 : x
2. Step 2: Convert to fraction form
   10,264.64/15,386.18 = 5,816.78/x
3. Step 3: Cross multiply
   10,264.64x = 15,386.18 × 5,816.78
4. Step 4: Simplify right side
   10,264.64x = 89,497,947.17
5. Step 5: Solve for x
   x = 89,497,947.17/10,264.64
6. Step 6: Final answer
   x = 8,719.05