Finding the Fourth Proportional to 1,003.92, 1,385.34 and 561.77

Step by Step Solution

1. Step 1: Write the proportion equation
   1,003.92 : 1,385.34 = 561.77 : x
2. Step 2: Convert to fraction form
   1,003.92/1,385.34 = 561.77/x
3. Step 3: Cross multiply
   1,003.92x = 1,385.34 × 561.77
4. Step 4: Simplify right side
   1,003.92x = 778,232.72
5. Step 5: Solve for x
   x = 778,232.72/1,003.92
6. Step 6: Final answer
   x = 775.19