Finding the Fourth Proportional to 5,637.42, 7,781.82 and 5,046.93

Step by Step Solution

1. Step 1: Write the proportion equation
   5,637.42 : 7,781.82 = 5,046.93 : x
2. Step 2: Convert to fraction form
   5,637.42/7,781.82 = 5,046.93/x
3. Step 3: Cross multiply
   5,637.42x = 7,781.82 × 5,046.93
4. Step 4: Simplify right side
   5,637.42x = 39,274,300.81
5. Step 5: Solve for x
   x = 39,274,300.81/5,637.42
6. Step 6: Final answer
   x = 6,966.72