Finding the Fourth Proportional to 1,004.00, 1,385.51 and 561.94

Step by Step Solution

1. Step 1: Write the proportion equation
   1,004.00 : 1,385.51 = 561.94 : x
2. Step 2: Convert to fraction form
   1,004.00/1,385.51 = 561.94/x
3. Step 3: Cross multiply
   1,004.00x = 1,385.51 × 561.94
4. Step 4: Simplify right side
   1,004.00x = 778,567.22
5. Step 5: Solve for x
   x = 778,567.22/1,004.00
6. Step 6: Final answer
   x = 775.47