Finding the Fourth Proportional to 1,003.94, 1,385.39 and 561.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,003.94 : 1,385.39 = 561.88 : x
2. Step 2: Convert to fraction form
   1,003.94/1,385.39 = 561.88/x
3. Step 3: Cross multiply
   1,003.94x = 1,385.39 × 561.88
4. Step 4: Simplify right side
   1,003.94x = 778,420.87
5. Step 5: Solve for x
   x = 778,420.87/1,003.94
6. Step 6: Final answer
   x = 775.37