Finding the Fourth Proportional to 10,598.64, 14,618.23 and 7,412.10

Step by Step Solution

1. Step 1: Write the proportion equation
   10,598.64 : 14,618.23 = 7,412.10 : x
2. Step 2: Convert to fraction form
   10,598.64/14,618.23 = 7,412.10/x
3. Step 3: Cross multiply
   10,598.64x = 14,618.23 × 7,412.10
4. Step 4: Simplify right side
   10,598.64x = 108,351,782.58
5. Step 5: Solve for x
   x = 108,351,782.58/10,598.64
6. Step 6: Final answer
   x = 10,223.18