Finding the Fourth Proportional to 1,158.21, 1,598.39 and 686.00

Step by Step Solution

1. Step 1: Write the proportion equation
   1,158.21 : 1,598.39 = 686.00 : x
2. Step 2: Convert to fraction form
   1,158.21/1,598.39 = 686.00/x
3. Step 3: Cross multiply
   1,158.21x = 1,598.39 × 686.00
4. Step 4: Simplify right side
   1,158.21x = 1,096,484.12
5. Step 5: Solve for x
   x = 1,096,484.12/1,158.21
6. Step 6: Final answer
   x = 946.71