Finding the Fourth Proportional to 1,043.61, 1,440.16 and 577.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,043.61 : 1,440.16 = 577.86 : x
2. Step 2: Convert to fraction form
   1,043.61/1,440.16 = 577.86/x
3. Step 3: Cross multiply
   1,043.61x = 1,440.16 × 577.86
4. Step 4: Simplify right side
   1,043.61x = 832,200.77
5. Step 5: Solve for x
   x = 832,200.77/1,043.61
6. Step 6: Final answer
   x = 797.43