Finding the Fourth Proportional to 10,266.64, 15,404.59 and 5,884.10

Step by Step Solution

1. Step 1: Write the proportion equation
   10,266.64 : 15,404.59 = 5,884.10 : x
2. Step 2: Convert to fraction form
   10,266.64/15,404.59 = 5,884.10/x
3. Step 3: Cross multiply
   10,266.64x = 15,404.59 × 5,884.10
4. Step 4: Simplify right side
   10,266.64x = 90,642,148.02
5. Step 5: Solve for x
   x = 90,642,148.02/10,266.64
6. Step 6: Final answer
   x = 8,828.80