Finding the Fourth Proportional to 1,097.34, 1,514.35 and 599.98

Step by Step Solution

1. Step 1: Write the proportion equation
   1,097.34 : 1,514.35 = 599.98 : x
2. Step 2: Convert to fraction form
   1,097.34/1,514.35 = 599.98/x
3. Step 3: Cross multiply
   1,097.34x = 1,514.35 × 599.98
4. Step 4: Simplify right side
   1,097.34x = 908,572.14
5. Step 5: Solve for x
   x = 908,572.14/1,097.34
6. Step 6: Final answer
   x = 827.98