Finding the Fourth Proportional to 1,097.01, 1,513.86 and 599.64

Step by Step Solution

1. Step 1: Write the proportion equation
   1,097.01 : 1,513.86 = 599.64 : x
2. Step 2: Convert to fraction form
   1,097.01/1,513.86 = 599.64/x
3. Step 3: Cross multiply
   1,097.01x = 1,513.86 × 599.64
4. Step 4: Simplify right side
   1,097.01x = 907,771.01
5. Step 5: Solve for x
   x = 907,771.01/1,097.01
6. Step 6: Final answer
   x = 827.50