Finding the Fourth Proportional to 1,051.47, 1,576.71 and 401.76

Step by Step Solution

1. Step 1: Write the proportion equation
   1,051.47 : 1,576.71 = 401.76 : x
2. Step 2: Convert to fraction form
   1,051.47/1,576.71 = 401.76/x
3. Step 3: Cross multiply
   1,051.47x = 1,576.71 × 401.76
4. Step 4: Simplify right side
   1,051.47x = 633,459.01
5. Step 5: Solve for x
   x = 633,459.01/1,051.47
6. Step 6: Final answer
   x = 602.45