Finding the Fourth Proportional to 1,004.99, 1,386.83 and 556.83

Step by Step Solution

1. Step 1: Write the proportion equation
   1,004.99 : 1,386.83 = 556.83 : x
2. Step 2: Convert to fraction form
   1,004.99/1,386.83 = 556.83/x
3. Step 3: Cross multiply
   1,004.99x = 1,386.83 × 556.83
4. Step 4: Simplify right side
   1,004.99x = 772,225.76
5. Step 5: Solve for x
   x = 772,225.76/1,004.99
6. Step 6: Final answer
   x = 768.40