Finding the Fourth Proportional to 1,109.48, 1,663.00 and 783.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,109.48 : 1,663.00 = 783.86 : x
2. Step 2: Convert to fraction form
   1,109.48/1,663.00 = 783.86/x
3. Step 3: Cross multiply
   1,109.48x = 1,663.00 × 783.86
4. Step 4: Simplify right side
   1,109.48x = 1,303,548.91
5. Step 5: Solve for x
   x = 1,303,548.91/1,109.48
6. Step 6: Final answer
   x = 1,174.92