Finding the Fourth Proportional to 10,109.33, 13,950.46 and 5,633

Step by Step Solution

1. Step 1: Write the proportion equation
   10,109.33 : 13,950.46 = 5,633 : x
2. Step 2: Convert to fraction form
   10,109.33/13,950.46 = 5,633/x
3. Step 3: Cross multiply
   10,109.33x = 13,950.46 × 5,633
4. Step 4: Simplify right side
   10,109.33x = 78,582,941.18
5. Step 5: Solve for x
   x = 78,582,941.18/10,109.33
6. Step 6: Final answer
   x = 7,773.31