Finding the Fourth Proportional to 1,402.83, 2,101.55 and 784.66

Step by Step Solution

1. Step 1: Write the proportion equation
   1,402.83 : 2,101.55 = 784.66 : x
2. Step 2: Convert to fraction form
   1,402.83/2,101.55 = 784.66/x
3. Step 3: Cross multiply
   1,402.83x = 2,101.55 × 784.66
4. Step 4: Simplify right side
   1,402.83x = 1,649,009.52
5. Step 5: Solve for x
   x = 1,649,009.52/1,402.83
6. Step 6: Final answer
   x = 1,175.49