Finding the Fourth Proportional to 1,086.18, 1,627.83 and 507.84

Step by Step Solution

1. Step 1: Write the proportion equation
   1,086.18 : 1,627.83 = 507.84 : x
2. Step 2: Convert to fraction form
   1,086.18/1,627.83 = 507.84/x
3. Step 3: Cross multiply
   1,086.18x = 1,627.83 × 507.84
4. Step 4: Simplify right side
   1,086.18x = 826,677.19
5. Step 5: Solve for x
   x = 826,677.19/1,086.18
6. Step 6: Final answer
   x = 761.09