Finding the Fourth Proportional to 1,057.06, 1,460.06 and 761.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,057.06 : 1,460.06 = 761.82 : x
2. Step 2: Convert to fraction form
   1,057.06/1,460.06 = 761.82/x
3. Step 3: Cross multiply
   1,057.06x = 1,460.06 × 761.82
4. Step 4: Simplify right side
   1,057.06x = 1,112,302.91
5. Step 5: Solve for x
   x = 1,112,302.91/1,057.06
6. Step 6: Final answer
   x = 1,052.26