Finding the Fourth Proportional to 1,404.16, 2,105.76 and 538.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,404.16 : 2,105.76 = 538.72 : x
2. Step 2: Convert to fraction form
   1,404.16/2,105.76 = 538.72/x
3. Step 3: Cross multiply
   1,404.16x = 2,105.76 × 538.72
4. Step 4: Simplify right side
   1,404.16x = 1,134,415.03
5. Step 5: Solve for x
   x = 1,134,415.03/1,404.16
6. Step 6: Final answer
   x = 807.90