Finding the Fourth Proportional to 31,155.94, 46,734.18 and 7,782.40

Step by Step Solution

1. Step 1: Write the proportion equation
   31,155.94 : 46,734.18 = 7,782.40 : x
2. Step 2: Convert to fraction form
   31,155.94/46,734.18 = 7,782.40/x
3. Step 3: Cross multiply
   31,155.94x = 46,734.18 × 7,782.40
4. Step 4: Simplify right side
   31,155.94x = 363,704,082.43
5. Step 5: Solve for x
   x = 363,704,082.43/31,155.94
6. Step 6: Final answer
   x = 11,673.67