Finding the Fourth Proportional to 1,123.84, 1,684.88 and 507.52

Step by Step Solution

1. Step 1: Write the proportion equation
   1,123.84 : 1,684.88 = 507.52 : x
2. Step 2: Convert to fraction form
   1,123.84/1,684.88 = 507.52/x
3. Step 3: Cross multiply
   1,123.84x = 1,684.88 × 507.52
4. Step 4: Simplify right side
   1,123.84x = 855,110.30
5. Step 5: Solve for x
   x = 855,110.30/1,123.84
6. Step 6: Final answer
   x = 760.88