Finding the Fourth Proportional to 1,476.69, 2,213.82 and 782.94

Step by Step Solution

1. Step 1: Write the proportion equation
   1,476.69 : 2,213.82 = 782.94 : x
2. Step 2: Convert to fraction form
   1,476.69/2,213.82 = 782.94/x
3. Step 3: Cross multiply
   1,476.69x = 2,213.82 × 782.94
4. Step 4: Simplify right side
   1,476.69x = 1,733,288.23
5. Step 5: Solve for x
   x = 1,733,288.23/1,476.69
6. Step 6: Final answer
   x = 1,173.77