Finding the Fourth Proportional to 1,419.17, 2,127.63 and 541.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,419.17 : 2,127.63 = 541.50 : x
2. Step 2: Convert to fraction form
   1,419.17/2,127.63 = 541.50/x
3. Step 3: Cross multiply
   1,419.17x = 2,127.63 × 541.50
4. Step 4: Simplify right side
   1,419.17x = 1,152,111.65
5. Step 5: Solve for x
   x = 1,152,111.65/1,419.17
6. Step 6: Final answer
   x = 811.82