Finding the Fourth Proportional to 4,748.56, 7,123.78 and 1,461.53

Step by Step Solution

1. Step 1: Write the proportion equation
   4,748.56 : 7,123.78 = 1,461.53 : x
2. Step 2: Convert to fraction form
   4,748.56/7,123.78 = 1,461.53/x
3. Step 3: Cross multiply
   4,748.56x = 7,123.78 × 1,461.53
4. Step 4: Simplify right side
   4,748.56x = 10,411,582.56
5. Step 5: Solve for x
   x = 10,411,582.56/4,748.56
6. Step 6: Final answer
   x = 2,192.58