Finding the Fourth Proportional to 1,410.63, 2,116.56 and 761.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,410.63 : 2,116.56 = 761.82 : x
2. Step 2: Convert to fraction form
   1,410.63/2,116.56 = 761.82/x
3. Step 3: Cross multiply
   1,410.63x = 2,116.56 × 761.82
4. Step 4: Simplify right side
   1,410.63x = 1,612,437.74
5. Step 5: Solve for x
   x = 1,612,437.74/1,410.63
6. Step 6: Final answer
   x = 1,143.06