Finding the Fourth Proportional to 1,004.02, 1,385.58 and 561.94

Step by Step Solution

1. Step 1: Write the proportion equation
   1,004.02 : 1,385.58 = 561.94 : x
2. Step 2: Convert to fraction form
   1,004.02/1,385.58 = 561.94/x
3. Step 3: Cross multiply
   1,004.02x = 1,385.58 × 561.94
4. Step 4: Simplify right side
   1,004.02x = 778,612.83
5. Step 5: Solve for x
   x = 778,612.83/1,004.02
6. Step 6: Final answer
   x = 775.50