Finding the Fourth Proportional to 9,781.56, 13,497.71 and 5,802.03

Step by Step Solution

1. Step 1: Write the proportion equation
   9,781.56 : 13,497.71 = 5,802.03 : x
2. Step 2: Convert to fraction form
   9,781.56/13,497.71 = 5,802.03/x
3. Step 3: Cross multiply
   9,781.56x = 13,497.71 × 5,802.03
4. Step 4: Simplify right side
   9,781.56x = 78,314,089.34
5. Step 5: Solve for x
   x = 78,314,089.34/9,781.56
6. Step 6: Final answer
   x = 8,006.30