Finding the Fourth Proportional to 1,123.63, 1,684.35 and 507.49

Step by Step Solution

1. Step 1: Write the proportion equation
   1,123.63 : 1,684.35 = 507.49 : x
2. Step 2: Convert to fraction form
   1,123.63/1,684.35 = 507.49/x
3. Step 3: Cross multiply
   1,123.63x = 1,684.35 × 507.49
4. Step 4: Simplify right side
   1,123.63x = 854,790.78
5. Step 5: Solve for x
   x = 854,790.78/1,123.63
6. Step 6: Final answer
   x = 760.74