Finding the Fourth Proportional to 1,184.05, 1,775.98 and 598.83

Step by Step Solution

1. Step 1: Write the proportion equation
   1,184.05 : 1,775.98 = 598.83 : x
2. Step 2: Convert to fraction form
   1,184.05/1,775.98 = 598.83/x
3. Step 3: Cross multiply
   1,184.05x = 1,775.98 × 598.83
4. Step 4: Simplify right side
   1,184.05x = 1,063,500.82
5. Step 5: Solve for x
   x = 1,063,500.82/1,184.05
6. Step 6: Final answer
   x = 898.19