Finding the Fourth Proportional to 1,004.01, 1,385.48 and 561.83

Step by Step Solution

1. Step 1: Write the proportion equation
   1,004.01 : 1,385.48 = 561.83 : x
2. Step 2: Convert to fraction form
   1,004.01/1,385.48 = 561.83/x
3. Step 3: Cross multiply
   1,004.01x = 1,385.48 × 561.83
4. Step 4: Simplify right side
   1,004.01x = 778,404.23
5. Step 5: Solve for x
   x = 778,404.23/1,004.01
6. Step 6: Final answer
   x = 775.30