Finding the Fourth Proportional to 1,106.72, 1,659.42 and 521.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,106.72 : 1,659.42 = 521.86 : x
2. Step 2: Convert to fraction form
   1,106.72/1,659.42 = 521.86/x
3. Step 3: Cross multiply
   1,106.72x = 1,659.42 × 521.86
4. Step 4: Simplify right side
   1,106.72x = 865,984.92
5. Step 5: Solve for x
   x = 865,984.92/1,106.72
6. Step 6: Final answer
   x = 782.48