Finding the Fourth Proportional to 1,003.61, 1,385.01 and 561.62

Step by Step Solution

1. Step 1: Write the proportion equation
   1,003.61 : 1,385.01 = 561.62 : x
2. Step 2: Convert to fraction form
   1,003.61/1,385.01 = 561.62/x
3. Step 3: Cross multiply
   1,003.61x = 1,385.01 × 561.62
4. Step 4: Simplify right side
   1,003.61x = 777,842.39
5. Step 5: Solve for x
   x = 777,842.39/1,003.61
6. Step 6: Final answer
   x = 775.05