Finding the Fourth Proportional to 1,477.32, 2,215.33 and 783.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,477.32 : 2,215.33 = 783.82 : x
2. Step 2: Convert to fraction form
   1,477.32/2,215.33 = 783.82/x
3. Step 3: Cross multiply
   1,477.32x = 2,215.33 × 783.82
4. Step 4: Simplify right side
   1,477.32x = 1,736,420.77
5. Step 5: Solve for x
   x = 1,736,420.77/1,477.32
6. Step 6: Final answer
   x = 1,175.39