Finding the Fourth Proportional to 9,781.60, 13,498.77 and 5,531.80

Step by Step Solution

1. Step 1: Write the proportion equation
   9,781.60 : 13,498.77 = 5,531.80 : x
2. Step 2: Convert to fraction form
   9,781.60/13,498.77 = 5,531.80/x
3. Step 3: Cross multiply
   9,781.60x = 13,498.77 × 5,531.80
4. Step 4: Simplify right side
   9,781.60x = 74,672,495.89
5. Step 5: Solve for x
   x = 74,672,495.89/9,781.60
6. Step 6: Final answer
   x = 7,633.98