Finding the Fourth Proportional to 5,641.80, 7,787.86 and 5,051.31

Step by Step Solution

1. Step 1: Write the proportion equation
   5,641.80 : 7,787.86 = 5,051.31 : x
2. Step 2: Convert to fraction form
   5,641.80/7,787.86 = 5,051.31/x
3. Step 3: Cross multiply
   5,641.80x = 7,787.86 × 5,051.31
4. Step 4: Simplify right side
   5,641.80x = 39,338,895.10
5. Step 5: Solve for x
   x = 39,338,895.10/5,641.80
6. Step 6: Final answer
   x = 6,972.76