Finding the Fourth Proportional to 2,101.99, 3,151.89 and 784.66

Step by Step Solution

1. Step 1: Write the proportion equation
   2,101.99 : 3,151.89 = 784.66 : x
2. Step 2: Convert to fraction form
   2,101.99/3,151.89 = 784.66/x
3. Step 3: Cross multiply
   2,101.99x = 3,151.89 × 784.66
4. Step 4: Simplify right side
   2,101.99x = 2,473,146.02
5. Step 5: Solve for x
   x = 2,473,146.02/2,101.99
6. Step 6: Final answer
   x = 1,176.58