Finding the Fourth Proportional to 1,097.00, 1,513.89 and 599.66

Step by Step Solution

1. Step 1: Write the proportion equation
   1,097.00 : 1,513.89 = 599.66 : x
2. Step 2: Convert to fraction form
   1,097.00/1,513.89 = 599.66/x
3. Step 3: Cross multiply
   1,097.00x = 1,513.89 × 599.66
4. Step 4: Simplify right side
   1,097.00x = 907,811.71
5. Step 5: Solve for x
   x = 907,811.71/1,097.00
6. Step 6: Final answer
   x = 827.54