Finding the Fourth Proportional to 1,123.80, 1,685.69 and 507.34

Step by Step Solution

1. Step 1: Write the proportion equation
   1,123.80 : 1,685.69 = 507.34 : x
2. Step 2: Convert to fraction form
   1,123.80/1,685.69 = 507.34/x
3. Step 3: Cross multiply
   1,123.80x = 1,685.69 × 507.34
4. Step 4: Simplify right side
   1,123.80x = 855,213.27
5. Step 5: Solve for x
   x = 855,213.27/1,123.80
6. Step 6: Final answer
   x = 761.00