Finding the Fourth Proportional to 1,003.34, 1,384.59 and 583.77

Step by Step Solution

1. Step 1: Write the proportion equation
   1,003.34 : 1,384.59 = 583.77 : x
2. Step 2: Convert to fraction form
   1,003.34/1,384.59 = 583.77/x
3. Step 3: Cross multiply
   1,003.34x = 1,384.59 × 583.77
4. Step 4: Simplify right side
   1,003.34x = 808,282.10
5. Step 5: Solve for x
   x = 808,282.10/1,003.34
6. Step 6: Final answer
   x = 805.60